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Finding the Third Proportional to 31,510,629 and 68,399,118

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Solution

The third proportional to 31,510,629 and 68,399,118 is: 148,471,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510,629 : 68,399,118 = 68,399,118 : x
  2. Step 2: Convert to fraction form
    31,510,629/68,399,118 = 68,399,118/x
  3. Step 3: Cross multiply
    31,510,629x = 68,399,118 × 68,399,118
  4. Step 4: Simplify right side
    31,510,629x = 4,678,439,343,177,924
  5. Step 5: Solve for x
    x = 4,678,439,343,177,924/31,510,629
  6. Step 6: Final answer
    x = 148,471,785.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.