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Finding the Third Proportional to 10,672,301,920 and 23,181,780,536

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Solution

The third proportional to 10,672,301,920 and 23,181,780,536 is: 50,354,174,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,301,920 : 23,181,780,536 = 23,181,780,536 : x
  2. Step 2: Convert to fraction form
    10,672,301,920/23,181,780,536 = 23,181,780,536/x
  3. Step 3: Cross multiply
    10,672,301,920x = 23,181,780,536 × 23,181,780,536
  4. Step 4: Simplify right side
    10,672,301,920x = 537,394,948,819,268,468,736
  5. Step 5: Solve for x
    x = 537,394,948,819,268,468,736/10,672,301,920
  6. Step 6: Final answer
    x = 50,354,174,089.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.