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Finding the Third Proportional to 31,786,082 and 68,652,808

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Solution

The third proportional to 31,786,082 and 68,652,808 is: 148,278,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786,082 : 68,652,808 = 68,652,808 : x
  2. Step 2: Convert to fraction form
    31,786,082/68,652,808 = 68,652,808/x
  3. Step 3: Cross multiply
    31,786,082x = 68,652,808 × 68,652,808
  4. Step 4: Simplify right side
    31,786,082x = 4,713,208,046,284,864
  5. Step 5: Solve for x
    x = 4,713,208,046,284,864/31,786,082
  6. Step 6: Final answer
    x = 148,278,987.21

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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.