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Finding the Third Proportional to 31,527,873 and 47,517,313.50

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Solution

The third proportional to 31,527,873 and 47,517,313.50 is: 71,615,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,873 : 47,517,313.50 = 47,517,313.50 : x
  2. Step 2: Convert to fraction form
    31,527,873/47,517,313.50 = 47,517,313.50/x
  3. Step 3: Cross multiply
    31,527,873x = 47,517,313.50 × 47,517,313.50
  4. Step 4: Simplify right side
    31,527,873x = 2,257,895,082,257,282
  5. Step 5: Solve for x
    x = 2,257,895,082,257,282/31,527,873
  6. Step 6: Final answer
    x = 71,615,839.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.