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Finding the Third Proportional to 34,224,864 and 51,343,920

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Solution

The third proportional to 34,224,864 and 51,343,920 is: 77,025,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224,864 : 51,343,920 = 51,343,920 : x
  2. Step 2: Convert to fraction form
    34,224,864/51,343,920 = 51,343,920/x
  3. Step 3: Cross multiply
    34,224,864x = 51,343,920 × 51,343,920
  4. Step 4: Simplify right side
    34,224,864x = 2,636,198,120,966,400
  5. Step 5: Solve for x
    x = 2,636,198,120,966,400/34,224,864
  6. Step 6: Final answer
    x = 77,025,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.