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Finding the Third Proportional to 37,956,865,355 and 79,055,397,386

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Solution

The third proportional to 37,956,865,355 and 79,055,397,386 is: 164,654,161,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956,865,355 : 79,055,397,386 = 79,055,397,386 : x
  2. Step 2: Convert to fraction form
    37,956,865,355/79,055,397,386 = 79,055,397,386/x
  3. Step 3: Cross multiply
    37,956,865,355x = 79,055,397,386 × 79,055,397,386
  4. Step 4: Simplify right side
    37,956,865,355x = 6,249,755,855,858,375,327,744
  5. Step 5: Solve for x
    x = 6,249,755,855,858,375,327,744/37,956,865,355
  6. Step 6: Final answer
    x = 164,654,161,965.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.