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Finding the Third Proportional to 57,765,744 and 126,869,472

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Solution

The third proportional to 57,765,744 and 126,869,472 is: 278,640,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765,744 : 126,869,472 = 126,869,472 : x
  2. Step 2: Convert to fraction form
    57,765,744/126,869,472 = 126,869,472/x
  3. Step 3: Cross multiply
    57,765,744x = 126,869,472 × 126,869,472
  4. Step 4: Simplify right side
    57,765,744x = 16,095,862,925,558,784
  5. Step 5: Solve for x
    x = 16,095,862,925,558,784/57,765,744
  6. Step 6: Final answer
    x = 278,640,277.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.