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Finding the Third Proportional to 2,947,815 and 6,445,519

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Solution

The third proportional to 2,947,815 and 6,445,519 is: 14,093,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,815 : 6,445,519 = 6,445,519 : x
  2. Step 2: Convert to fraction form
    2,947,815/6,445,519 = 6,445,519/x
  3. Step 3: Cross multiply
    2,947,815x = 6,445,519 × 6,445,519
  4. Step 4: Simplify right side
    2,947,815x = 41,544,715,179,361
  5. Step 5: Solve for x
    x = 41,544,715,179,361/2,947,815
  6. Step 6: Final answer
    x = 14,093,392.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.