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Finding the Third Proportional to 2,663,136 and 5,824,611

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Solution

The third proportional to 2,663,136 and 5,824,611 is: 12,739,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,136 : 5,824,611 = 5,824,611 : x
  2. Step 2: Convert to fraction form
    2,663,136/5,824,611 = 5,824,611/x
  3. Step 3: Cross multiply
    2,663,136x = 5,824,611 × 5,824,611
  4. Step 4: Simplify right side
    2,663,136x = 33,926,093,301,321
  5. Step 5: Solve for x
    x = 33,926,093,301,321/2,663,136
  6. Step 6: Final answer
    x = 12,739,151.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.