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Finding the Third Proportional to 32,359,746 and 69,522,150

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Solution

The third proportional to 32,359,746 and 69,522,150 is: 149,362,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359,746 : 69,522,150 = 69,522,150 : x
  2. Step 2: Convert to fraction form
    32,359,746/69,522,150 = 69,522,150/x
  3. Step 3: Cross multiply
    32,359,746x = 69,522,150 × 69,522,150
  4. Step 4: Simplify right side
    32,359,746x = 4,833,329,340,622,500
  5. Step 5: Solve for x
    x = 4,833,329,340,622,500/32,359,746
  6. Step 6: Final answer
    x = 149,362,400.45

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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.