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Finding the Third Proportional to 32,420,904.75 and 69,475,306.50

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Solution

The third proportional to 32,420,904.75 and 69,475,306.50 is: 148,879,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,904.75 : 69,475,306.50 = 69,475,306.50 : x
  2. Step 2: Convert to fraction form
    32,420,904.75/69,475,306.50 = 69,475,306.50/x
  3. Step 3: Cross multiply
    32,420,904.75x = 69,475,306.50 × 69,475,306.50
  4. Step 4: Simplify right side
    32,420,904.75x = 4,826,818,213,268,942
  5. Step 5: Solve for x
    x = 4,826,818,213,268,942/32,420,904.75
  6. Step 6: Final answer
    x = 148,879,812.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.