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Finding the Third Proportional to 9,891,144 and 21,088,800

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Solution

The third proportional to 9,891,144 and 21,088,800 is: 44,963,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891,144 : 21,088,800 = 21,088,800 : x
  2. Step 2: Convert to fraction form
    9,891,144/21,088,800 = 21,088,800/x
  3. Step 3: Cross multiply
    9,891,144x = 21,088,800 × 21,088,800
  4. Step 4: Simplify right side
    9,891,144x = 444,737,485,440,000
  5. Step 5: Solve for x
    x = 444,737,485,440,000/9,891,144
  6. Step 6: Final answer
    x = 44,963,199.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.