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Finding the Third Proportional to 52,648,020 and 117,394,665

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Solution

The third proportional to 52,648,020 and 117,394,665 is: 261,766,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648,020 : 117,394,665 = 117,394,665 : x
  2. Step 2: Convert to fraction form
    52,648,020/117,394,665 = 117,394,665/x
  3. Step 3: Cross multiply
    52,648,020x = 117,394,665 × 117,394,665
  4. Step 4: Simplify right side
    52,648,020x = 13,781,507,370,462,224
  5. Step 5: Solve for x
    x = 13,781,507,370,462,224/52,648,020
  6. Step 6: Final answer
    x = 261,766,869.30

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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.