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Finding the Third Proportional to 2,363,195 and 5,154,142

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Solution

The third proportional to 2,363,195 and 5,154,142 is: 11,241,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,195 : 5,154,142 = 5,154,142 : x
  2. Step 2: Convert to fraction form
    2,363,195/5,154,142 = 5,154,142/x
  3. Step 3: Cross multiply
    2,363,195x = 5,154,142 × 5,154,142
  4. Step 4: Simplify right side
    2,363,195x = 26,565,179,756,164
  5. Step 5: Solve for x
    x = 26,565,179,756,164/2,363,195
  6. Step 6: Final answer
    x = 11,241,213.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.