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Finding the Third Proportional to 43,829,120.25 and 69,398,613

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Solution

The third proportional to 43,829,120.25 and 69,398,613 is: 109,885,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,829,120.25 : 69,398,613 = 69,398,613 : x
  2. Step 2: Convert to fraction form
    43,829,120.25/69,398,613 = 69,398,613/x
  3. Step 3: Cross multiply
    43,829,120.25x = 69,398,613 × 69,398,613
  4. Step 4: Simplify right side
    43,829,120.25x = 4,816,167,486,323,769
  5. Step 5: Solve for x
    x = 4,816,167,486,323,769/43,829,120.25
  6. Step 6: Final answer
    x = 109,885,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.