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Finding the Third Proportional to 31,832,919 and 68,203,849.50

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Solution

The third proportional to 31,832,919 and 68,203,849.50 is: 146,130,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,919 : 68,203,849.50 = 68,203,849.50 : x
  2. Step 2: Convert to fraction form
    31,832,919/68,203,849.50 = 68,203,849.50/x
  3. Step 3: Cross multiply
    31,832,919x = 68,203,849.50 × 68,203,849.50
  4. Step 4: Simplify right side
    31,832,919x = 4,651,765,086,618,650
  5. Step 5: Solve for x
    x = 4,651,765,086,618,650/31,832,919
  6. Step 6: Final answer
    x = 146,130,648.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.