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Finding the Third Proportional to 75,664,432 and 162,933,511

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Solution

The third proportional to 75,664,432 and 162,933,511 is: 350,856,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664,432 : 162,933,511 = 162,933,511 : x
  2. Step 2: Convert to fraction form
    75,664,432/162,933,511 = 162,933,511/x
  3. Step 3: Cross multiply
    75,664,432x = 162,933,511 × 162,933,511
  4. Step 4: Simplify right side
    75,664,432x = 26,547,329,006,787,120
  5. Step 5: Solve for x
    x = 26,547,329,006,787,120/75,664,432
  6. Step 6: Final answer
    x = 350,856,119.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.