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Finding the Third Proportional to 35,156,946 and 77,121,198

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Solution

The third proportional to 35,156,946 and 77,121,198 is: 169,175,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,946 : 77,121,198 = 77,121,198 : x
  2. Step 2: Convert to fraction form
    35,156,946/77,121,198 = 77,121,198/x
  3. Step 3: Cross multiply
    35,156,946x = 77,121,198 × 77,121,198
  4. Step 4: Simplify right side
    35,156,946x = 5,947,679,180,955,204
  5. Step 5: Solve for x
    x = 5,947,679,180,955,204/35,156,946
  6. Step 6: Final answer
    x = 169,175,080.82

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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.