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Finding the Third Proportional to 10,784,952 and 23,474,376

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Solution

The third proportional to 10,784,952 and 23,474,376 is: 51,093,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,952 : 23,474,376 = 23,474,376 : x
  2. Step 2: Convert to fraction form
    10,784,952/23,474,376 = 23,474,376/x
  3. Step 3: Cross multiply
    10,784,952x = 23,474,376 × 23,474,376
  4. Step 4: Simplify right side
    10,784,952x = 551,046,328,589,376
  5. Step 5: Solve for x
    x = 551,046,328,589,376/10,784,952
  6. Step 6: Final answer
    x = 51,093,999.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.