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Finding the Third Proportional to 2,466,496 and 5,380,020

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Solution

The third proportional to 2,466,496 and 5,380,020 is: 11,735,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,496 : 5,380,020 = 5,380,020 : x
  2. Step 2: Convert to fraction form
    2,466,496/5,380,020 = 5,380,020/x
  3. Step 3: Cross multiply
    2,466,496x = 5,380,020 × 5,380,020
  4. Step 4: Simplify right side
    2,466,496x = 28,944,615,200,400
  5. Step 5: Solve for x
    x = 28,944,615,200,400/2,466,496
  6. Step 6: Final answer
    x = 11,735,115.40

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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.