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Finding the Third Proportional to 126,053,824 and 274,193,432

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Solution

The third proportional to 126,053,824 and 274,193,432 is: 596,428,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053,824 : 274,193,432 = 274,193,432 : x
  2. Step 2: Convert to fraction form
    126,053,824/274,193,432 = 274,193,432/x
  3. Step 3: Cross multiply
    126,053,824x = 274,193,432 × 274,193,432
  4. Step 4: Simplify right side
    126,053,824x = 75,182,038,151,938,624
  5. Step 5: Solve for x
    x = 75,182,038,151,938,624/126,053,824
  6. Step 6: Final answer
    x = 596,428,063.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.