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Finding the Third Proportional to 16,971,909 and 37,785,288

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Solution

The third proportional to 16,971,909 and 37,785,288 is: 84,123,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971,909 : 37,785,288 = 37,785,288 : x
  2. Step 2: Convert to fraction form
    16,971,909/37,785,288 = 37,785,288/x
  3. Step 3: Cross multiply
    16,971,909x = 37,785,288 × 37,785,288
  4. Step 4: Simplify right side
    16,971,909x = 1,427,727,989,242,944
  5. Step 5: Solve for x
    x = 1,427,727,989,242,944/16,971,909
  6. Step 6: Final answer
    x = 84,123,005.21

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.