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Finding the Third Proportional to 2,843,136 and 6,711,624

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Solution

The third proportional to 2,843,136 and 6,711,624 is: 15,843,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,136 : 6,711,624 = 6,711,624 : x
  2. Step 2: Convert to fraction form
    2,843,136/6,711,624 = 6,711,624/x
  3. Step 3: Cross multiply
    2,843,136x = 6,711,624 × 6,711,624
  4. Step 4: Simplify right side
    2,843,136x = 45,045,896,717,376
  5. Step 5: Solve for x
    x = 45,045,896,717,376/2,843,136
  6. Step 6: Final answer
    x = 15,843,736.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.