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Finding the Third Proportional to 52,648,862 and 117,396,295

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Solution

The third proportional to 52,648,862 and 117,396,295 is: 261,769,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648,862 : 117,396,295 = 117,396,295 : x
  2. Step 2: Convert to fraction form
    52,648,862/117,396,295 = 117,396,295/x
  3. Step 3: Cross multiply
    52,648,862x = 117,396,295 × 117,396,295
  4. Step 4: Simplify right side
    52,648,862x = 13,781,890,079,727,024
  5. Step 5: Solve for x
    x = 13,781,890,079,727,024/52,648,862
  6. Step 6: Final answer
    x = 261,769,952.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.