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Finding the Third Proportional to 2,466,409 and 5,381,011

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Solution

The third proportional to 2,466,409 and 5,381,011 is: 11,739,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,409 : 5,381,011 = 5,381,011 : x
  2. Step 2: Convert to fraction form
    2,466,409/5,381,011 = 5,381,011/x
  3. Step 3: Cross multiply
    2,466,409x = 5,381,011 × 5,381,011
  4. Step 4: Simplify right side
    2,466,409x = 28,955,279,382,121
  5. Step 5: Solve for x
    x = 28,955,279,382,121/2,466,409
  6. Step 6: Final answer
    x = 11,739,853.12

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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.