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Finding the Third Proportional to 38,835,022.50 and 83,722,524.75

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Solution

The third proportional to 38,835,022.50 and 83,722,524.75 is: 180,493,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835,022.50 : 83,722,524.75 = 83,722,524.75 : x
  2. Step 2: Convert to fraction form
    38,835,022.50/83,722,524.75 = 83,722,524.75/x
  3. Step 3: Cross multiply
    38,835,022.50x = 83,722,524.75 × 83,722,524.75
  4. Step 4: Simplify right side
    38,835,022.50x = 7,009,461,150,514,363
  5. Step 5: Solve for x
    x = 7,009,461,150,514,363/38,835,022.50
  6. Step 6: Final answer
    x = 180,493,294.44

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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.