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Finding the Third Proportional to 63,182,442 and 97,072,839

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Solution

The third proportional to 63,182,442 and 97,072,839 is: 149,141,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,182,442 : 97,072,839 = 97,072,839 : x
  2. Step 2: Convert to fraction form
    63,182,442/97,072,839 = 97,072,839/x
  3. Step 3: Cross multiply
    63,182,442x = 97,072,839 × 97,072,839
  4. Step 4: Simplify right side
    63,182,442x = 9,423,136,071,519,920
  5. Step 5: Solve for x
    x = 9,423,136,071,519,920/63,182,442
  6. Step 6: Final answer
    x = 149,141,688.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.