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Finding the Third Proportional to 32,688,195.75 and 71,752,866.75

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Solution

The third proportional to 32,688,195.75 and 71,752,866.75 is: 157,502,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688,195.75 : 71,752,866.75 = 71,752,866.75 : x
  2. Step 2: Convert to fraction form
    32,688,195.75/71,752,866.75 = 71,752,866.75/x
  3. Step 3: Cross multiply
    32,688,195.75x = 71,752,866.75 × 71,752,866.75
  4. Step 4: Simplify right side
    32,688,195.75x = 5,148,473,886,843,256
  5. Step 5: Solve for x
    x = 5,148,473,886,843,256/32,688,195.75
  6. Step 6: Final answer
    x = 157,502,540.86

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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.