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Finding the Third Proportional to 9,662,344 and 21,002,022

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Solution

The third proportional to 9,662,344 and 21,002,022 is: 45,649,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,344 : 21,002,022 = 21,002,022 : x
  2. Step 2: Convert to fraction form
    9,662,344/21,002,022 = 21,002,022/x
  3. Step 3: Cross multiply
    9,662,344x = 21,002,022 × 21,002,022
  4. Step 4: Simplify right side
    9,662,344x = 441,084,928,088,484
  5. Step 5: Solve for x
    x = 441,084,928,088,484/9,662,344
  6. Step 6: Final answer
    x = 45,649,888.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.