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Finding the Third Proportional to 4,431,984 and 9,525,981

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Solution

The third proportional to 4,431,984 and 9,525,981 is: 20,474,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,984 : 9,525,981 = 9,525,981 : x
  2. Step 2: Convert to fraction form
    4,431,984/9,525,981 = 9,525,981/x
  3. Step 3: Cross multiply
    4,431,984x = 9,525,981 × 9,525,981
  4. Step 4: Simplify right side
    4,431,984x = 90,744,314,012,361
  5. Step 5: Solve for x
    x = 90,744,314,012,361/4,431,984
  6. Step 6: Final answer
    x = 20,474,874.01

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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.