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Finding the Third Proportional to 717,915,632 and 1,561,616,920

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Solution

The third proportional to 717,915,632 and 1,561,616,920 is: 3,396,843,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,915,632 : 1,561,616,920 = 1,561,616,920 : x
  2. Step 2: Convert to fraction form
    717,915,632/1,561,616,920 = 1,561,616,920/x
  3. Step 3: Cross multiply
    717,915,632x = 1,561,616,920 × 1,561,616,920
  4. Step 4: Simplify right side
    717,915,632x = 2,438,647,404,830,286,336
  5. Step 5: Solve for x
    x = 2,438,647,404,830,286,336/717,915,632
  6. Step 6: Final answer
    x = 3,396,843,996.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.