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Finding the Third Proportional to 9,982,818 and 21,478,797

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Solution

The third proportional to 9,982,818 and 21,478,797 is: 46,213,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,818 : 21,478,797 = 21,478,797 : x
  2. Step 2: Convert to fraction form
    9,982,818/21,478,797 = 21,478,797/x
  3. Step 3: Cross multiply
    9,982,818x = 21,478,797 × 21,478,797
  4. Step 4: Simplify right side
    9,982,818x = 461,338,720,567,209
  5. Step 5: Solve for x
    x = 461,338,720,567,209/9,982,818
  6. Step 6: Final answer
    x = 46,213,275.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.