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Finding the Third Proportional to 2,706,608 and 5,637,136

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Solution

The third proportional to 2,706,608 and 5,637,136 is: 11,740,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,608 : 5,637,136 = 5,637,136 : x
  2. Step 2: Convert to fraction form
    2,706,608/5,637,136 = 5,637,136/x
  3. Step 3: Cross multiply
    2,706,608x = 5,637,136 × 5,637,136
  4. Step 4: Simplify right side
    2,706,608x = 31,777,302,282,496
  5. Step 5: Solve for x
    x = 31,777,302,282,496/2,706,608
  6. Step 6: Final answer
    x = 11,740,637.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.