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Finding the Third Proportional to 9,235,914,422 and 20,164,775,612

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Solution

The third proportional to 9,235,914,422 and 20,164,775,612 is: 44,025,762,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235,914,422 : 20,164,775,612 = 20,164,775,612 : x
  2. Step 2: Convert to fraction form
    9,235,914,422/20,164,775,612 = 20,164,775,612/x
  3. Step 3: Cross multiply
    9,235,914,422x = 20,164,775,612 × 20,164,775,612
  4. Step 4: Simplify right side
    9,235,914,422x = 406,618,175,482,309,967,872
  5. Step 5: Solve for x
    x = 406,618,175,482,309,967,872/9,235,914,422
  6. Step 6: Final answer
    x = 44,025,762,572.44

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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.