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Finding the Third Proportional to 14,551,189 and 22,826,489

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Solution

The third proportional to 14,551,189 and 22,826,489 is: 35,807,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551,189 : 22,826,489 = 22,826,489 : x
  2. Step 2: Convert to fraction form
    14,551,189/22,826,489 = 22,826,489/x
  3. Step 3: Cross multiply
    14,551,189x = 22,826,489 × 22,826,489
  4. Step 4: Simplify right side
    14,551,189x = 521,048,600,067,121
  5. Step 5: Solve for x
    x = 521,048,600,067,121/14,551,189
  6. Step 6: Final answer
    x = 35,807,974.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.