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Finding the Third Proportional to 45,971,348 and 100,013,893

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Solution

The third proportional to 45,971,348 and 100,013,893 is: 217,587,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971,348 : 100,013,893 = 100,013,893 : x
  2. Step 2: Convert to fraction form
    45,971,348/100,013,893 = 100,013,893/x
  3. Step 3: Cross multiply
    45,971,348x = 100,013,893 × 100,013,893
  4. Step 4: Simplify right side
    45,971,348x = 10,002,778,793,015,448
  5. Step 5: Solve for x
    x = 10,002,778,793,015,448/45,971,348
  6. Step 6: Final answer
    x = 217,587,241.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.