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Finding the Third Proportional to 747,057,655 and 1,116,469,041

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Solution

The third proportional to 747,057,655 and 1,116,469,041 is: 1,668,550,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,057,655 : 1,116,469,041 = 1,116,469,041 : x
  2. Step 2: Convert to fraction form
    747,057,655/1,116,469,041 = 1,116,469,041/x
  3. Step 3: Cross multiply
    747,057,655x = 1,116,469,041 × 1,116,469,041
  4. Step 4: Simplify right side
    747,057,655x = 1,246,503,119,511,459,584
  5. Step 5: Solve for x
    x = 1,246,503,119,511,459,584/747,057,655
  6. Step 6: Final answer
    x = 1,668,550,092.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.