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Finding the Third Proportional to 4,637,418 and 6,408,033

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Solution

The third proportional to 4,637,418 and 6,408,033 is: 8,854,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,418 : 6,408,033 = 6,408,033 : x
  2. Step 2: Convert to fraction form
    4,637,418/6,408,033 = 6,408,033/x
  3. Step 3: Cross multiply
    4,637,418x = 6,408,033 × 6,408,033
  4. Step 4: Simplify right side
    4,637,418x = 41,062,886,929,089
  5. Step 5: Solve for x
    x = 41,062,886,929,089/4,637,418
  6. Step 6: Final answer
    x = 8,854,687.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.