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Finding the Third Proportional to 9,847,040 and 20,476,864

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Solution

The third proportional to 9,847,040 and 20,476,864 is: 42,581,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,040 : 20,476,864 = 20,476,864 : x
  2. Step 2: Convert to fraction form
    9,847,040/20,476,864 = 20,476,864/x
  3. Step 3: Cross multiply
    9,847,040x = 20,476,864 × 20,476,864
  4. Step 4: Simplify right side
    9,847,040x = 419,301,959,274,496
  5. Step 5: Solve for x
    x = 419,301,959,274,496/9,847,040
  6. Step 6: Final answer
    x = 42,581,522.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.