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Finding the Third Proportional to 220,761,917 and 464,406,010

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Solution

The third proportional to 220,761,917 and 464,406,010 is: 976,948,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,761,917 : 464,406,010 = 464,406,010 : x
  2. Step 2: Convert to fraction form
    220,761,917/464,406,010 = 464,406,010/x
  3. Step 3: Cross multiply
    220,761,917x = 464,406,010 × 464,406,010
  4. Step 4: Simplify right side
    220,761,917x = 215,672,942,124,120,096
  5. Step 5: Solve for x
    x = 215,672,942,124,120,096/220,761,917
  6. Step 6: Final answer
    x = 976,948,130.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.