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Finding the Third Proportional to 9,707,074 and 21,121,412

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Solution

The third proportional to 9,707,074 and 21,121,412 is: 45,957,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707,074 : 21,121,412 = 21,121,412 : x
  2. Step 2: Convert to fraction form
    9,707,074/21,121,412 = 21,121,412/x
  3. Step 3: Cross multiply
    9,707,074x = 21,121,412 × 21,121,412
  4. Step 4: Simplify right side
    9,707,074x = 446,114,044,873,744
  5. Step 5: Solve for x
    x = 446,114,044,873,744/9,707,074
  6. Step 6: Final answer
    x = 45,957,622.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.