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Finding the Third Proportional to 12,125,574 and 18,314,250.75

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Solution

The third proportional to 12,125,574 and 18,314,250.75 is: 27,661,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125,574 : 18,314,250.75 = 18,314,250.75 : x
  2. Step 2: Convert to fraction form
    12,125,574/18,314,250.75 = 18,314,250.75/x
  3. Step 3: Cross multiply
    12,125,574x = 18,314,250.75 × 18,314,250.75
  4. Step 4: Simplify right side
    12,125,574x = 335,411,780,533,875.56
  5. Step 5: Solve for x
    x = 335,411,780,533,875.56/12,125,574
  6. Step 6: Final answer
    x = 27,661,517.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.