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Finding the Third Proportional to 38,427,082.13 and 83,677,089.75

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Solution

The third proportional to 38,427,082.13 and 83,677,089.75 is: 182,211,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,082.13 : 83,677,089.75 = 83,677,089.75 : x
  2. Step 2: Convert to fraction form
    38,427,082.13/83,677,089.75 = 83,677,089.75/x
  3. Step 3: Cross multiply
    38,427,082.13x = 83,677,089.75 × 83,677,089.75
  4. Step 4: Simplify right side
    38,427,082.13x = 7,001,855,349,029,555
  5. Step 5: Solve for x
    x = 7,001,855,349,029,555/38,427,082.13
  6. Step 6: Final answer
    x = 182,211,475.91

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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.