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Finding the Third Proportional to 6,850,539 and 14,921,586

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Solution

The third proportional to 6,850,539 and 14,921,586 is: 32,501,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,539 : 14,921,586 = 14,921,586 : x
  2. Step 2: Convert to fraction form
    6,850,539/14,921,586 = 14,921,586/x
  3. Step 3: Cross multiply
    6,850,539x = 14,921,586 × 14,921,586
  4. Step 4: Simplify right side
    6,850,539x = 222,653,728,755,396
  5. Step 5: Solve for x
    x = 222,653,728,755,396/6,850,539
  6. Step 6: Final answer
    x = 32,501,636.55

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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.