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Finding the Third Proportional to 6,440,403 and 13,889,686

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Solution

The third proportional to 6,440,403 and 13,889,686 is: 29,955,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440,403 : 13,889,686 = 13,889,686 : x
  2. Step 2: Convert to fraction form
    6,440,403/13,889,686 = 13,889,686/x
  3. Step 3: Cross multiply
    6,440,403x = 13,889,686 × 13,889,686
  4. Step 4: Simplify right side
    6,440,403x = 192,923,377,178,596
  5. Step 5: Solve for x
    x = 192,923,377,178,596/6,440,403
  6. Step 6: Final answer
    x = 29,955,171.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.