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Finding the Third Proportional to 775,291,885 and 1,701,222,691

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Solution

The third proportional to 775,291,885 and 1,701,222,691 is: 3,732,992,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,291,885 : 1,701,222,691 = 1,701,222,691 : x
  2. Step 2: Convert to fraction form
    775,291,885/1,701,222,691 = 1,701,222,691/x
  3. Step 3: Cross multiply
    775,291,885x = 1,701,222,691 × 1,701,222,691
  4. Step 4: Simplify right side
    775,291,885x = 2,894,158,644,373,281,280
  5. Step 5: Solve for x
    x = 2,894,158,644,373,281,280/775,291,885
  6. Step 6: Final answer
    x = 3,732,992,309.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.