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Finding the Third Proportional to 31,324,401 and 67,875,003

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Solution

The third proportional to 31,324,401 and 67,875,003 is: 147,074,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324,401 : 67,875,003 = 67,875,003 : x
  2. Step 2: Convert to fraction form
    31,324,401/67,875,003 = 67,875,003/x
  3. Step 3: Cross multiply
    31,324,401x = 67,875,003 × 67,875,003
  4. Step 4: Simplify right side
    31,324,401x = 4,607,016,032,250,009
  5. Step 5: Solve for x
    x = 4,607,016,032,250,009/31,324,401
  6. Step 6: Final answer
    x = 147,074,353.70

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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.