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Finding the Third Proportional to 5,512,746,770 and 8,473,487,691

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Solution

The third proportional to 5,512,746,770 and 8,473,487,691 is: 13,024,359,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512,746,770 : 8,473,487,691 = 8,473,487,691 : x
  2. Step 2: Convert to fraction form
    5,512,746,770/8,473,487,691 = 8,473,487,691/x
  3. Step 3: Cross multiply
    5,512,746,770x = 8,473,487,691 × 8,473,487,691
  4. Step 4: Simplify right side
    5,512,746,770x = 71,799,993,649,528,512,512
  5. Step 5: Solve for x
    x = 71,799,993,649,528,512,512/5,512,746,770
  6. Step 6: Final answer
    x = 13,024,359,116.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.