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Finding the Third Proportional to 748,602,394 and 1,669,332,379

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Solution

The third proportional to 748,602,394 and 1,669,332,379 is: 3,722,497,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,602,394 : 1,669,332,379 = 1,669,332,379 : x
  2. Step 2: Convert to fraction form
    748,602,394/1,669,332,379 = 1,669,332,379/x
  3. Step 3: Cross multiply
    748,602,394x = 1,669,332,379 × 1,669,332,379
  4. Step 4: Simplify right side
    748,602,394x = 2,786,670,591,577,799,680
  5. Step 5: Solve for x
    x = 2,786,670,591,577,799,680/748,602,394
  6. Step 6: Final answer
    x = 3,722,497,568.69

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.