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Finding the Third Proportional to 35,156,934 and 77,121,173

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Solution

The third proportional to 35,156,934 and 77,121,173 is: 169,175,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,934 : 77,121,173 = 77,121,173 : x
  2. Step 2: Convert to fraction form
    35,156,934/77,121,173 = 77,121,173/x
  3. Step 3: Cross multiply
    35,156,934x = 77,121,173 × 77,121,173
  4. Step 4: Simplify right side
    35,156,934x = 5,947,675,324,895,929
  5. Step 5: Solve for x
    x = 5,947,675,324,895,929/35,156,934
  6. Step 6: Final answer
    x = 169,175,028.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.