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Finding the Third Proportional to 8,898,195 and 19,137,747

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Solution

The third proportional to 8,898,195 and 19,137,747 is: 41,160,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898,195 : 19,137,747 = 19,137,747 : x
  2. Step 2: Convert to fraction form
    8,898,195/19,137,747 = 19,137,747/x
  3. Step 3: Cross multiply
    8,898,195x = 19,137,747 × 19,137,747
  4. Step 4: Simplify right side
    8,898,195x = 366,253,360,236,009
  5. Step 5: Solve for x
    x = 366,253,360,236,009/8,898,195
  6. Step 6: Final answer
    x = 41,160,410.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.