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Finding the Third Proportional to 16,633,784 and 36,398,214

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Solution

The third proportional to 16,633,784 and 36,398,214 is: 79,646,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633,784 : 36,398,214 = 36,398,214 : x
  2. Step 2: Convert to fraction form
    16,633,784/36,398,214 = 36,398,214/x
  3. Step 3: Cross multiply
    16,633,784x = 36,398,214 × 36,398,214
  4. Step 4: Simplify right side
    16,633,784x = 1,324,829,982,389,796
  5. Step 5: Solve for x
    x = 1,324,829,982,389,796/16,633,784
  6. Step 6: Final answer
    x = 79,646,939.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.