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Finding the Third Proportional to 35,452,774 and 77,117,141

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Solution

The third proportional to 35,452,774 and 77,117,141 is: 167,745,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,774 : 77,117,141 = 77,117,141 : x
  2. Step 2: Convert to fraction form
    35,452,774/77,117,141 = 77,117,141/x
  3. Step 3: Cross multiply
    35,452,774x = 77,117,141 × 77,117,141
  4. Step 4: Simplify right side
    35,452,774x = 5,947,053,436,013,881
  5. Step 5: Solve for x
    x = 5,947,053,436,013,881/35,452,774
  6. Step 6: Final answer
    x = 167,745,785.87

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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.