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Finding the Third Proportional to 220,761,916 and 464,406,008

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Solution

The third proportional to 220,761,916 and 464,406,008 is: 976,948,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,761,916 : 464,406,008 = 464,406,008 : x
  2. Step 2: Convert to fraction form
    220,761,916/464,406,008 = 464,406,008/x
  3. Step 3: Cross multiply
    220,761,916x = 464,406,008 × 464,406,008
  4. Step 4: Simplify right side
    220,761,916x = 215,672,940,266,496,064
  5. Step 5: Solve for x
    x = 215,672,940,266,496,064/220,761,916
  6. Step 6: Final answer
    x = 976,948,126.63

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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.