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Finding the Third Proportional to 2,836,800 and 6,146,136

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Solution

The third proportional to 2,836,800 and 6,146,136 is: 13,316,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836,800 : 6,146,136 = 6,146,136 : x
  2. Step 2: Convert to fraction form
    2,836,800/6,146,136 = 6,146,136/x
  3. Step 3: Cross multiply
    2,836,800x = 6,146,136 × 6,146,136
  4. Step 4: Simplify right side
    2,836,800x = 37,774,987,730,496
  5. Step 5: Solve for x
    x = 37,774,987,730,496/2,836,800
  6. Step 6: Final answer
    x = 13,316,056.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.