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Finding the Third Proportional to 6,780,332.81 and 16,002,901.69

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Solution

The third proportional to 6,780,332.81 and 16,002,901.69 is: 37,769,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,332.81 : 16,002,901.69 = 16,002,901.69 : x
  2. Step 2: Convert to fraction form
    6,780,332.81/16,002,901.69 = 16,002,901.69/x
  3. Step 3: Cross multiply
    6,780,332.81x = 16,002,901.69 × 16,002,901.69
  4. Step 4: Simplify right side
    6,780,332.81x = 256,092,862,419,790.34
  5. Step 5: Solve for x
    x = 256,092,862,419,790.34/6,780,332.81
  6. Step 6: Final answer
    x = 37,769,954.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.