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Finding the Third Proportional to 220,835,689 and 464,516,779

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Solution

The third proportional to 220,835,689 and 464,516,779 is: 977,087,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,689 : 464,516,779 = 464,516,779 : x
  2. Step 2: Convert to fraction form
    220,835,689/464,516,779 = 464,516,779/x
  3. Step 3: Cross multiply
    220,835,689x = 464,516,779 × 464,516,779
  4. Step 4: Simplify right side
    220,835,689x = 215,775,837,972,534,848
  5. Step 5: Solve for x
    x = 215,775,837,972,534,848/220,835,689
  6. Step 6: Final answer
    x = 977,087,711.45

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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.