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Finding the Third Proportional to 9,638,822 and 12,850,329

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Solution

The third proportional to 9,638,822 and 12,850,329 is: 17,131,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,822 : 12,850,329 = 12,850,329 : x
  2. Step 2: Convert to fraction form
    9,638,822/12,850,329 = 12,850,329/x
  3. Step 3: Cross multiply
    9,638,822x = 12,850,329 × 12,850,329
  4. Step 4: Simplify right side
    9,638,822x = 165,130,955,408,241
  5. Step 5: Solve for x
    x = 165,130,955,408,241/9,638,822
  6. Step 6: Final answer
    x = 17,131,860.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.