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Finding the Third Proportional to 8,172,082.25 and 17,780,612.01

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Solution

The third proportional to 8,172,082.25 and 17,780,612.01 is: 38,686,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172,082.25 : 17,780,612.01 = 17,780,612.01 : x
  2. Step 2: Convert to fraction form
    8,172,082.25/17,780,612.01 = 17,780,612.01/x
  3. Step 3: Cross multiply
    8,172,082.25x = 17,780,612.01 × 17,780,612.01
  4. Step 4: Simplify right side
    8,172,082.25x = 316,150,163,441,834.94
  5. Step 5: Solve for x
    x = 316,150,163,441,834.94/8,172,082.25
  6. Step 6: Final answer
    x = 38,686,610.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.