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Finding the Third Proportional to 32,688,141.75 and 71,752,758.75

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Solution

The third proportional to 32,688,141.75 and 71,752,758.75 is: 157,502,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688,141.75 : 71,752,758.75 = 71,752,758.75 : x
  2. Step 2: Convert to fraction form
    32,688,141.75/71,752,758.75 = 71,752,758.75/x
  3. Step 3: Cross multiply
    32,688,141.75x = 71,752,758.75 × 71,752,758.75
  4. Step 4: Simplify right side
    32,688,141.75x = 5,148,458,388,235,702
  5. Step 5: Solve for x
    x = 5,148,458,388,235,702/32,688,141.75
  6. Step 6: Final answer
    x = 157,502,326.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.