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Finding the Third Proportional to 2,929,635 and 6,417,846

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Solution

The third proportional to 2,929,635 and 6,417,846 is: 14,059,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,635 : 6,417,846 = 6,417,846 : x
  2. Step 2: Convert to fraction form
    2,929,635/6,417,846 = 6,417,846/x
  3. Step 3: Cross multiply
    2,929,635x = 6,417,846 × 6,417,846
  4. Step 4: Simplify right side
    2,929,635x = 41,188,747,279,716
  5. Step 5: Solve for x
    x = 41,188,747,279,716/2,929,635
  6. Step 6: Final answer
    x = 14,059,344.35

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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.