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Finding the Third Proportional to 534,217,800 and 1,160,398,161

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Solution

The third proportional to 534,217,800 and 1,160,398,161 is: 2,520,552,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,217,800 : 1,160,398,161 = 1,160,398,161 : x
  2. Step 2: Convert to fraction form
    534,217,800/1,160,398,161 = 1,160,398,161/x
  3. Step 3: Cross multiply
    534,217,800x = 1,160,398,161 × 1,160,398,161
  4. Step 4: Simplify right side
    534,217,800x = 1,346,523,892,052,182,016
  5. Step 5: Solve for x
    x = 1,346,523,892,052,182,016/534,217,800
  6. Step 6: Final answer
    x = 2,520,552,276.72

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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.