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Finding the Third Proportional to 35,452,638 and 77,116,901

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Solution

The third proportional to 35,452,638 and 77,116,901 is: 167,745,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,638 : 77,116,901 = 77,116,901 : x
  2. Step 2: Convert to fraction form
    35,452,638/77,116,901 = 77,116,901/x
  3. Step 3: Cross multiply
    35,452,638x = 77,116,901 × 77,116,901
  4. Step 4: Simplify right side
    35,452,638x = 5,947,016,419,843,801
  5. Step 5: Solve for x
    x = 5,947,016,419,843,801/35,452,638
  6. Step 6: Final answer
    x = 167,745,385.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.