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Finding the Third Proportional to 16,028,178.75 and 37,798,877.81

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Solution

The third proportional to 16,028,178.75 and 37,798,877.81 is: 89,140,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028,178.75 : 37,798,877.81 = 37,798,877.81 : x
  2. Step 2: Convert to fraction form
    16,028,178.75/37,798,877.81 = 37,798,877.81/x
  3. Step 3: Cross multiply
    16,028,178.75x = 37,798,877.81 × 37,798,877.81
  4. Step 4: Simplify right side
    16,028,178.75x = 1,428,755,163,884,304.75
  5. Step 5: Solve for x
    x = 1,428,755,163,884,304.75/16,028,178.75
  6. Step 6: Final answer
    x = 89,140,206.52

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Why These Related Problems?

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