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Finding the Third Proportional to 15,150,067.50 and 23,506,672.50

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Solution

The third proportional to 15,150,067.50 and 23,506,672.50 is: 36,472,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150,067.50 : 23,506,672.50 = 23,506,672.50 : x
  2. Step 2: Convert to fraction form
    15,150,067.50/23,506,672.50 = 23,506,672.50/x
  3. Step 3: Cross multiply
    15,150,067.50x = 23,506,672.50 × 23,506,672.50
  4. Step 4: Simplify right side
    15,150,067.50x = 552,563,652,022,256.25
  5. Step 5: Solve for x
    x = 552,563,652,022,256.25/15,150,067.50
  6. Step 6: Final answer
    x = 36,472,685.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.