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Finding the Third Proportional to 68,064,032 and 149,352,872

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Solution

The third proportional to 68,064,032 and 149,352,872 is: 327,724,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064,032 : 149,352,872 = 149,352,872 : x
  2. Step 2: Convert to fraction form
    68,064,032/149,352,872 = 149,352,872/x
  3. Step 3: Cross multiply
    68,064,032x = 149,352,872 × 149,352,872
  4. Step 4: Simplify right side
    68,064,032x = 22,306,280,374,648,384
  5. Step 5: Solve for x
    x = 22,306,280,374,648,384/68,064,032
  6. Step 6: Final answer
    x = 327,724,933.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.