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Finding the Third Proportional to 10,694,896 and 23,094,376

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Solution

The third proportional to 10,694,896 and 23,094,376 is: 49,869,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,896 : 23,094,376 = 23,094,376 : x
  2. Step 2: Convert to fraction form
    10,694,896/23,094,376 = 23,094,376/x
  3. Step 3: Cross multiply
    10,694,896x = 23,094,376 × 23,094,376
  4. Step 4: Simplify right side
    10,694,896x = 533,350,202,829,376
  5. Step 5: Solve for x
    x = 533,350,202,829,376/10,694,896
  6. Step 6: Final answer
    x = 49,869,601.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.