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Finding the Third Proportional to 2,466,407 and 5,381,007

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Solution

The third proportional to 2,466,407 and 5,381,007 is: 11,739,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,407 : 5,381,007 = 5,381,007 : x
  2. Step 2: Convert to fraction form
    2,466,407/5,381,007 = 5,381,007/x
  3. Step 3: Cross multiply
    2,466,407x = 5,381,007 × 5,381,007
  4. Step 4: Simplify right side
    2,466,407x = 28,955,236,334,049
  5. Step 5: Solve for x
    x = 28,955,236,334,049/2,466,407
  6. Step 6: Final answer
    x = 11,739,845.18

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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.