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Finding the Third Proportional to 45,971,352 and 100,013,901

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Solution

The third proportional to 45,971,352 and 100,013,901 is: 217,587,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971,352 : 100,013,901 = 100,013,901 : x
  2. Step 2: Convert to fraction form
    45,971,352/100,013,901 = 100,013,901/x
  3. Step 3: Cross multiply
    45,971,352x = 100,013,901 × 100,013,901
  4. Step 4: Simplify right side
    45,971,352x = 10,002,780,393,237,800
  5. Step 5: Solve for x
    x = 10,002,780,393,237,800/45,971,352
  6. Step 6: Final answer
    x = 217,587,257.24

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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.