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Finding the Third Proportional to 32,359,745 and 69,522,163

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Solution

The third proportional to 32,359,745 and 69,522,163 is: 149,362,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359,745 : 69,522,163 = 69,522,163 : x
  2. Step 2: Convert to fraction form
    32,359,745/69,522,163 = 69,522,163/x
  3. Step 3: Cross multiply
    32,359,745x = 69,522,163 × 69,522,163
  4. Step 4: Simplify right side
    32,359,745x = 4,833,331,148,198,569
  5. Step 5: Solve for x
    x = 4,833,331,148,198,569/32,359,745
  6. Step 6: Final answer
    x = 149,362,460.93

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Why These Related Problems?

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