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Finding the Third Proportional to 9,686,634 and 20,553,996

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Solution

The third proportional to 9,686,634 and 20,553,996 is: 43,613,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,634 : 20,553,996 = 20,553,996 : x
  2. Step 2: Convert to fraction form
    9,686,634/20,553,996 = 20,553,996/x
  3. Step 3: Cross multiply
    9,686,634x = 20,553,996 × 20,553,996
  4. Step 4: Simplify right side
    9,686,634x = 422,466,751,568,016
  5. Step 5: Solve for x
    x = 422,466,751,568,016/9,686,634
  6. Step 6: Final answer
    x = 43,613,369.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.