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Finding the Third Proportional to 35,399,025 and 77,027,706

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Solution

The third proportional to 35,399,025 and 77,027,706 is: 167,611,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,399,025 : 77,027,706 = 77,027,706 : x
  2. Step 2: Convert to fraction form
    35,399,025/77,027,706 = 77,027,706/x
  3. Step 3: Cross multiply
    35,399,025x = 77,027,706 × 77,027,706
  4. Step 4: Simplify right side
    35,399,025x = 5,933,267,491,622,436
  5. Step 5: Solve for x
    x = 5,933,267,491,622,436/35,399,025
  6. Step 6: Final answer
    x = 167,611,042.72

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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.