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Finding the Third Proportional to 35,156,982 and 77,121,276

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Solution

The third proportional to 35,156,982 and 77,121,276 is: 169,175,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,982 : 77,121,276 = 77,121,276 : x
  2. Step 2: Convert to fraction form
    35,156,982/77,121,276 = 77,121,276/x
  3. Step 3: Cross multiply
    35,156,982x = 77,121,276 × 77,121,276
  4. Step 4: Simplify right side
    35,156,982x = 5,947,691,211,868,176
  5. Step 5: Solve for x
    x = 5,947,691,211,868,176/35,156,982
  6. Step 6: Final answer
    x = 169,175,249.79

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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.