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Finding the Third Proportional to 45,971,251 and 100,013,711

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Solution

The third proportional to 45,971,251 and 100,013,711 is: 217,586,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971,251 : 100,013,711 = 100,013,711 : x
  2. Step 2: Convert to fraction form
    45,971,251/100,013,711 = 100,013,711/x
  3. Step 3: Cross multiply
    45,971,251x = 100,013,711 × 100,013,711
  4. Step 4: Simplify right side
    45,971,251x = 10,002,742,387,991,520
  5. Step 5: Solve for x
    x = 10,002,742,387,991,520/45,971,251
  6. Step 6: Final answer
    x = 217,586,908.57

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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.