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Finding the Third Proportional to 13,512,723.75 and 31,884,981.75

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Solution

The third proportional to 13,512,723.75 and 31,884,981.75 is: 75,236,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512,723.75 : 31,884,981.75 = 31,884,981.75 : x
  2. Step 2: Convert to fraction form
    13,512,723.75/31,884,981.75 = 31,884,981.75/x
  3. Step 3: Cross multiply
    13,512,723.75x = 31,884,981.75 × 31,884,981.75
  4. Step 4: Simplify right side
    13,512,723.75x = 1,016,652,061,197,833
  5. Step 5: Solve for x
    x = 1,016,652,061,197,833/13,512,723.75
  6. Step 6: Final answer
    x = 75,236,649.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.