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Finding the Third Proportional to 3,693,874,491 and 8,126,516,592

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Solution

The third proportional to 3,693,874,491 and 8,126,516,592 is: 17,878,320,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693,874,491 : 8,126,516,592 = 8,126,516,592 : x
  2. Step 2: Convert to fraction form
    3,693,874,491/8,126,516,592 = 8,126,516,592/x
  3. Step 3: Cross multiply
    3,693,874,491x = 8,126,516,592 × 8,126,516,592
  4. Step 4: Simplify right side
    3,693,874,491x = 66,040,271,920,051,298,304
  5. Step 5: Solve for x
    x = 66,040,271,920,051,298,304/3,693,874,491
  6. Step 6: Final answer
    x = 17,878,320,468.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.