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Finding the Third Proportional to 1,381,518,310 and 3,005,093,234

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Solution

The third proportional to 1,381,518,310 and 3,005,093,234 is: 6,536,710,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,518,310 : 3,005,093,234 = 3,005,093,234 : x
  2. Step 2: Convert to fraction form
    1,381,518,310/3,005,093,234 = 3,005,093,234/x
  3. Step 3: Cross multiply
    1,381,518,310x = 3,005,093,234 × 3,005,093,234
  4. Step 4: Simplify right side
    1,381,518,310x = 9,030,585,345,032,579,072
  5. Step 5: Solve for x
    x = 9,030,585,345,032,579,072/1,381,518,310
  6. Step 6: Final answer
    x = 6,536,710,573.91

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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.