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Finding the Third Proportional to 8,052,689.25 and 12,196,251

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Solution

The third proportional to 8,052,689.25 and 12,196,251 is: 18,471,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052,689.25 : 12,196,251 = 12,196,251 : x
  2. Step 2: Convert to fraction form
    8,052,689.25/12,196,251 = 12,196,251/x
  3. Step 3: Cross multiply
    8,052,689.25x = 12,196,251 × 12,196,251
  4. Step 4: Simplify right side
    8,052,689.25x = 148,748,538,455,001
  5. Step 5: Solve for x
    x = 148,748,538,455,001/8,052,689.25
  6. Step 6: Final answer
    x = 18,471,908.43

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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.