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Finding the Third Proportional to 14,278,825.13 and 21,753,027.56

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Solution

The third proportional to 14,278,825.13 and 21,753,027.56 is: 33,139,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278,825.13 : 21,753,027.56 = 21,753,027.56 : x
  2. Step 2: Convert to fraction form
    14,278,825.13/21,753,027.56 = 21,753,027.56/x
  3. Step 3: Cross multiply
    14,278,825.13x = 21,753,027.56 × 21,753,027.56
  4. Step 4: Simplify right side
    14,278,825.13x = 473,194,208,134,884.69
  5. Step 5: Solve for x
    x = 473,194,208,134,884.69/14,278,825.13
  6. Step 6: Final answer
    x = 33,139,575.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.