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Finding the Third Proportional to 53,242,692 and 81,787,317

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Solution

The third proportional to 53,242,692 and 81,787,317 is: 125,635,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242,692 : 81,787,317 = 81,787,317 : x
  2. Step 2: Convert to fraction form
    53,242,692/81,787,317 = 81,787,317/x
  3. Step 3: Cross multiply
    53,242,692x = 81,787,317 × 81,787,317
  4. Step 4: Simplify right side
    53,242,692x = 6,689,165,222,058,489
  5. Step 5: Solve for x
    x = 6,689,165,222,058,489/53,242,692
  6. Step 6: Final answer
    x = 125,635,368.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.