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Finding the Third Proportional to 2,923,119 and 6,377,427

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Solution

The third proportional to 2,923,119 and 6,377,427 is: 13,913,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,119 : 6,377,427 = 6,377,427 : x
  2. Step 2: Convert to fraction form
    2,923,119/6,377,427 = 6,377,427/x
  3. Step 3: Cross multiply
    2,923,119x = 6,377,427 × 6,377,427
  4. Step 4: Simplify right side
    2,923,119x = 40,671,575,140,329
  5. Step 5: Solve for x
    x = 40,671,575,140,329/2,923,119
  6. Step 6: Final answer
    x = 13,913,759.63

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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.