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Finding the Third Proportional to 31,642,670.25 and 47,548,265.63

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Solution

The third proportional to 31,642,670.25 and 47,548,265.63 is: 71,449,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642,670.25 : 47,548,265.63 = 47,548,265.63 : x
  2. Step 2: Convert to fraction form
    31,642,670.25/47,548,265.63 = 47,548,265.63/x
  3. Step 3: Cross multiply
    31,642,670.25x = 47,548,265.63 × 47,548,265.63
  4. Step 4: Simplify right side
    31,642,670.25x = 2,260,837,563,945,556.50
  5. Step 5: Solve for x
    x = 2,260,837,563,945,556.50/31,642,670.25
  6. Step 6: Final answer
    x = 71,449,013.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.