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Finding the Third Proportional to 6,782,649 and 14,743,362

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Solution

The third proportional to 6,782,649 and 14,743,362 is: 32,047,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,649 : 14,743,362 = 14,743,362 : x
  2. Step 2: Convert to fraction form
    6,782,649/14,743,362 = 14,743,362/x
  3. Step 3: Cross multiply
    6,782,649x = 14,743,362 × 14,743,362
  4. Step 4: Simplify right side
    6,782,649x = 217,366,723,063,044
  5. Step 5: Solve for x
    x = 217,366,723,063,044/6,782,649
  6. Step 6: Final answer
    x = 32,047,467.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.