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Finding the Third Proportional to 34,293,280 and 73,970,872

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Solution

The third proportional to 34,293,280 and 73,970,872 is: 159,555,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293,280 : 73,970,872 = 73,970,872 : x
  2. Step 2: Convert to fraction form
    34,293,280/73,970,872 = 73,970,872/x
  3. Step 3: Cross multiply
    34,293,280x = 73,970,872 × 73,970,872
  4. Step 4: Simplify right side
    34,293,280x = 5,471,689,904,440,384
  5. Step 5: Solve for x
    x = 5,471,689,904,440,384/34,293,280
  6. Step 6: Final answer
    x = 159,555,746.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.