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Finding the Third Proportional to 16,971,890 and 37,785,248

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Solution

The third proportional to 16,971,890 and 37,785,248 is: 84,122,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971,890 : 37,785,248 = 37,785,248 : x
  2. Step 2: Convert to fraction form
    16,971,890/37,785,248 = 37,785,248/x
  3. Step 3: Cross multiply
    16,971,890x = 37,785,248 × 37,785,248
  4. Step 4: Simplify right side
    16,971,890x = 1,427,724,966,421,504
  5. Step 5: Solve for x
    x = 1,427,724,966,421,504/16,971,890
  6. Step 6: Final answer
    x = 84,122,921.28

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Why These Related Problems?

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