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Finding the Third Proportional to 9,483,728 and 20,766,304

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Solution

The third proportional to 9,483,728 and 20,766,304 is: 45,471,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483,728 : 20,766,304 = 20,766,304 : x
  2. Step 2: Convert to fraction form
    9,483,728/20,766,304 = 20,766,304/x
  3. Step 3: Cross multiply
    9,483,728x = 20,766,304 × 20,766,304
  4. Step 4: Simplify right side
    9,483,728x = 431,239,381,820,416
  5. Step 5: Solve for x
    x = 431,239,381,820,416/9,483,728
  6. Step 6: Final answer
    x = 45,471,504.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.