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Finding the Third Proportional to 34,053,776 and 75,665,824

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Solution

The third proportional to 34,053,776 and 75,665,824 is: 168,125,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053,776 : 75,665,824 = 75,665,824 : x
  2. Step 2: Convert to fraction form
    34,053,776/75,665,824 = 75,665,824/x
  3. Step 3: Cross multiply
    34,053,776x = 75,665,824 × 75,665,824
  4. Step 4: Simplify right side
    34,053,776x = 5,725,316,921,598,976
  5. Step 5: Solve for x
    x = 5,725,316,921,598,976/34,053,776
  6. Step 6: Final answer
    x = 168,125,758.55

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.