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Finding the Third Proportional to 52,648,018 and 117,394,663

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Solution

The third proportional to 52,648,018 and 117,394,663 is: 261,766,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648,018 : 117,394,663 = 117,394,663 : x
  2. Step 2: Convert to fraction form
    52,648,018/117,394,663 = 117,394,663/x
  3. Step 3: Cross multiply
    52,648,018x = 117,394,663 × 117,394,663
  4. Step 4: Simplify right side
    52,648,018x = 13,781,506,900,883,568
  5. Step 5: Solve for x
    x = 13,781,506,900,883,568/52,648,018
  6. Step 6: Final answer
    x = 261,766,870.33

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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.