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Finding the Third Proportional to 791,361,792 and 1,164,024,648.75

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Solution

The third proportional to 791,361,792 and 1,164,024,648.75 is: 1,712,179,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,361,792 : 1,164,024,648.75 = 1,164,024,648.75 : x
  2. Step 2: Convert to fraction form
    791,361,792/1,164,024,648.75 = 1,164,024,648.75/x
  3. Step 3: Cross multiply
    791,361,792x = 1,164,024,648.75 × 1,164,024,648.75
  4. Step 4: Simplify right side
    791,361,792x = 1,354,953,382,897,560,832
  5. Step 5: Solve for x
    x = 1,354,953,382,897,560,832/791,361,792
  6. Step 6: Final answer
    x = 1,712,179,431.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.