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Finding the Third Proportional to 9,818,694 and 20,319,116

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Solution

The third proportional to 9,818,694 and 20,319,116 is: 42,049,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818,694 : 20,319,116 = 20,319,116 : x
  2. Step 2: Convert to fraction form
    9,818,694/20,319,116 = 20,319,116/x
  3. Step 3: Cross multiply
    9,818,694x = 20,319,116 × 20,319,116
  4. Step 4: Simplify right side
    9,818,694x = 412,866,475,021,456
  5. Step 5: Solve for x
    x = 412,866,475,021,456/9,818,694
  6. Step 6: Final answer
    x = 42,049,021.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.