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Finding the Third Proportional to 31,786,082.75 and 68,652,809.50

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Solution

The third proportional to 31,786,082.75 and 68,652,809.50 is: 148,278,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786,082.75 : 68,652,809.50 = 68,652,809.50 : x
  2. Step 2: Convert to fraction form
    31,786,082.75/68,652,809.50 = 68,652,809.50/x
  3. Step 3: Cross multiply
    31,786,082.75x = 68,652,809.50 × 68,652,809.50
  4. Step 4: Simplify right side
    31,786,082.75x = 4,713,208,252,243,290
  5. Step 5: Solve for x
    x = 4,713,208,252,243,290/31,786,082.75
  6. Step 6: Final answer
    x = 148,278,990.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.