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Finding the Third Proportional to 34,241,015.25 and 75,864,856.50

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Solution

The third proportional to 34,241,015.25 and 75,864,856.50 is: 168,087,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,241,015.25 : 75,864,856.50 = 75,864,856.50 : x
  2. Step 2: Convert to fraction form
    34,241,015.25/75,864,856.50 = 75,864,856.50/x
  3. Step 3: Cross multiply
    34,241,015.25x = 75,864,856.50 × 75,864,856.50
  4. Step 4: Simplify right side
    34,241,015.25x = 5,755,476,451,765,592
  5. Step 5: Solve for x
    x = 5,755,476,451,765,592/34,241,015.25
  6. Step 6: Final answer
    x = 168,087,202.14

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.