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Finding the Third Proportional to 442,011,138 and 736,640,832

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Solution

The third proportional to 442,011,138 and 736,640,832 is: 1,227,660,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011,138 : 736,640,832 = 736,640,832 : x
  2. Step 2: Convert to fraction form
    442,011,138/736,640,832 = 736,640,832/x
  3. Step 3: Cross multiply
    442,011,138x = 736,640,832 × 736,640,832
  4. Step 4: Simplify right side
    442,011,138x = 542,639,715,369,652,224
  5. Step 5: Solve for x
    x = 542,639,715,369,652,224/442,011,138
  6. Step 6: Final answer
    x = 1,227,660,727.79

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.