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Finding the Third Proportional to 13,786,020 and 30,309,960

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Solution

The third proportional to 13,786,020 and 30,309,960 is: 66,639,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786,020 : 30,309,960 = 30,309,960 : x
  2. Step 2: Convert to fraction form
    13,786,020/30,309,960 = 30,309,960/x
  3. Step 3: Cross multiply
    13,786,020x = 30,309,960 × 30,309,960
  4. Step 4: Simplify right side
    13,786,020x = 918,693,675,201,600
  5. Step 5: Solve for x
    x = 918,693,675,201,600/13,786,020
  6. Step 6: Final answer
    x = 66,639,514.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.