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Finding the Third Proportional to 32,233,452.61 and 69,571,511.30

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Solution

The third proportional to 32,233,452.61 and 69,571,511.30 is: 150,160,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233,452.61 : 69,571,511.30 = 69,571,511.30 : x
  2. Step 2: Convert to fraction form
    32,233,452.61/69,571,511.30 = 69,571,511.30/x
  3. Step 3: Cross multiply
    32,233,452.61x = 69,571,511.30 × 69,571,511.30
  4. Step 4: Simplify right side
    32,233,452.61x = 4,840,195,184,131,206
  5. Step 5: Solve for x
    x = 4,840,195,184,131,206/32,233,452.61
  6. Step 6: Final answer
    x = 150,160,618.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.