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Finding the Third Proportional to 3,049,893,470 and 6,659,102,956

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Solution

The third proportional to 3,049,893,470 and 6,659,102,956 is: 14,539,410,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,893,470 : 6,659,102,956 = 6,659,102,956 : x
  2. Step 2: Convert to fraction form
    3,049,893,470/6,659,102,956 = 6,659,102,956/x
  3. Step 3: Cross multiply
    3,049,893,470x = 6,659,102,956 × 6,659,102,956
  4. Step 4: Simplify right side
    3,049,893,470x = 44,343,652,178,607,939,584
  5. Step 5: Solve for x
    x = 44,343,652,178,607,939,584/3,049,893,470
  6. Step 6: Final answer
    x = 14,539,410,184.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.