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Finding the Third Proportional to 5,893,416 and 12,693,672

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Solution

The third proportional to 5,893,416 and 12,693,672 is: 27,340,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,416 : 12,693,672 = 12,693,672 : x
  2. Step 2: Convert to fraction form
    5,893,416/12,693,672 = 12,693,672/x
  3. Step 3: Cross multiply
    5,893,416x = 12,693,672 × 12,693,672
  4. Step 4: Simplify right side
    5,893,416x = 161,129,308,843,584
  5. Step 5: Solve for x
    x = 161,129,308,843,584/5,893,416
  6. Step 6: Final answer
    x = 27,340,562.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.