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Finding the Third Proportional to 36,628,121,654 and 79,341,251,020

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Solution

The third proportional to 36,628,121,654 and 79,341,251,020 is: 171,863,416,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,628,121,654 : 79,341,251,020 = 79,341,251,020 : x
  2. Step 2: Convert to fraction form
    36,628,121,654/79,341,251,020 = 79,341,251,020/x
  3. Step 3: Cross multiply
    36,628,121,654x = 79,341,251,020 × 79,341,251,020
  4. Step 4: Simplify right side
    36,628,121,654x = 6,295,034,113,418,650,976,256
  5. Step 5: Solve for x
    x = 6,295,034,113,418,650,976,256/36,628,121,654
  6. Step 6: Final answer
    x = 171,863,416,117.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.