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Finding the Third Proportional to 5,159,342,791,714.40 and 8,010,863,254,093.20

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Solution

The third proportional to 5,159,342,791,714.40 and 8,010,863,254,093.20 is: 12,438,392,381,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159,342,791,714.40 : 8,010,863,254,093.20 = 8,010,863,254,093.20 : x
  2. Step 2: Convert to fraction form
    5,159,342,791,714.40/8,010,863,254,093.20 = 8,010,863,254,093.20/x
  3. Step 3: Cross multiply
    5,159,342,791,714.40x = 8,010,863,254,093.20 × 8,010,863,254,093.20
  4. Step 4: Simplify right side
    5,159,342,791,714.40x = 64,173,930,075,780,695,910,776,832
  5. Step 5: Solve for x
    x = 64,173,930,075,780,695,910,776,832/5,159,342,791,714.40
  6. Step 6: Final answer
    x = 12,438,392,381,843.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.