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Finding the Third Proportional to 31,103,640 and 67,867,236

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Solution

The third proportional to 31,103,640 and 67,867,236 is: 148,084,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103,640 : 67,867,236 = 67,867,236 : x
  2. Step 2: Convert to fraction form
    31,103,640/67,867,236 = 67,867,236/x
  3. Step 3: Cross multiply
    31,103,640x = 67,867,236 × 67,867,236
  4. Step 4: Simplify right side
    31,103,640x = 4,605,961,722,279,696
  5. Step 5: Solve for x
    x = 4,605,961,722,279,696/31,103,640
  6. Step 6: Final answer
    x = 148,084,331.04

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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.