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Finding the Third Proportional to 2,421,642 and 5,138,466

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Solution

The third proportional to 2,421,642 and 5,138,466 is: 10,903,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,642 : 5,138,466 = 5,138,466 : x
  2. Step 2: Convert to fraction form
    2,421,642/5,138,466 = 5,138,466/x
  3. Step 3: Cross multiply
    2,421,642x = 5,138,466 × 5,138,466
  4. Step 4: Simplify right side
    2,421,642x = 26,403,832,833,156
  5. Step 5: Solve for x
    x = 26,403,832,833,156/2,421,642
  6. Step 6: Final answer
    x = 10,903,276.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.