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Finding the Third Proportional to 75,441,432 and 165,005,052

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Solution

The third proportional to 75,441,432 and 165,005,052 is: 360,898,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,441,432 : 165,005,052 = 165,005,052 : x
  2. Step 2: Convert to fraction form
    75,441,432/165,005,052 = 165,005,052/x
  3. Step 3: Cross multiply
    75,441,432x = 165,005,052 × 165,005,052
  4. Step 4: Simplify right side
    75,441,432x = 27,226,667,185,522,704
  5. Step 5: Solve for x
    x = 27,226,667,185,522,704/75,441,432
  6. Step 6: Final answer
    x = 360,898,069.72

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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.