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Finding the Third Proportional to 12,842,107 and 18,802,432

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Solution

The third proportional to 12,842,107 and 18,802,432 is: 27,529,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842,107 : 18,802,432 = 18,802,432 : x
  2. Step 2: Convert to fraction form
    12,842,107/18,802,432 = 18,802,432/x
  3. Step 3: Cross multiply
    12,842,107x = 18,802,432 × 18,802,432
  4. Step 4: Simplify right side
    12,842,107x = 353,531,449,114,624
  5. Step 5: Solve for x
    x = 353,531,449,114,624/12,842,107
  6. Step 6: Final answer
    x = 27,529,084.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.