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Finding the Third Proportional to 9,478,832 and 20,417,743

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Solution

The third proportional to 9,478,832 and 20,417,743 is: 43,980,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478,832 : 20,417,743 = 20,417,743 : x
  2. Step 2: Convert to fraction form
    9,478,832/20,417,743 = 20,417,743/x
  3. Step 3: Cross multiply
    9,478,832x = 20,417,743 × 20,417,743
  4. Step 4: Simplify right side
    9,478,832x = 416,884,229,214,049
  5. Step 5: Solve for x
    x = 416,884,229,214,049/9,478,832
  6. Step 6: Final answer
    x = 43,980,548.36

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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.