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Finding the Third Proportional to 37,956,865,351 and 79,055,397,378

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Solution

The third proportional to 37,956,865,351 and 79,055,397,378 is: 164,654,161,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956,865,351 : 79,055,397,378 = 79,055,397,378 : x
  2. Step 2: Convert to fraction form
    37,956,865,351/79,055,397,378 = 79,055,397,378/x
  3. Step 3: Cross multiply
    37,956,865,351x = 79,055,397,378 × 79,055,397,378
  4. Step 4: Simplify right side
    37,956,865,351x = 6,249,755,854,593,489,633,280
  5. Step 5: Solve for x
    x = 6,249,755,854,593,489,633,280/37,956,865,351
  6. Step 6: Final answer
    x = 164,654,161,949.36

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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.