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Finding the Third Proportional to 9,982,884 and 21,478,932

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Solution

The third proportional to 9,982,884 and 21,478,932 is: 46,213,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,884 : 21,478,932 = 21,478,932 : x
  2. Step 2: Convert to fraction form
    9,982,884/21,478,932 = 21,478,932/x
  3. Step 3: Cross multiply
    9,982,884x = 21,478,932 × 21,478,932
  4. Step 4: Simplify right side
    9,982,884x = 461,344,519,860,624
  5. Step 5: Solve for x
    x = 461,344,519,860,624/9,982,884
  6. Step 6: Final answer
    x = 46,213,551.10

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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.