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Finding the Third Proportional to 31,516,736 and 69,012,184

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Solution

The third proportional to 31,516,736 and 69,012,184 is: 151,115,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,736 : 69,012,184 = 69,012,184 : x
  2. Step 2: Convert to fraction form
    31,516,736/69,012,184 = 69,012,184/x
  3. Step 3: Cross multiply
    31,516,736x = 69,012,184 × 69,012,184
  4. Step 4: Simplify right side
    31,516,736x = 4,762,681,540,449,856
  5. Step 5: Solve for x
    x = 4,762,681,540,449,856/31,516,736
  6. Step 6: Final answer
    x = 151,115,951.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.