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Finding the Third Proportional to 6,194,916 and 13,286,637

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Solution

The third proportional to 6,194,916 and 13,286,637 is: 28,496,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,916 : 13,286,637 = 13,286,637 : x
  2. Step 2: Convert to fraction form
    6,194,916/13,286,637 = 13,286,637/x
  3. Step 3: Cross multiply
    6,194,916x = 13,286,637 × 13,286,637
  4. Step 4: Simplify right side
    6,194,916x = 176,534,722,769,769
  5. Step 5: Solve for x
    x = 176,534,722,769,769/6,194,916
  6. Step 6: Final answer
    x = 28,496,709.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.