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Finding the Third Proportional to 2,672,136 and 5,722,623

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Solution

The third proportional to 2,672,136 and 5,722,623 is: 12,255,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672,136 : 5,722,623 = 5,722,623 : x
  2. Step 2: Convert to fraction form
    2,672,136/5,722,623 = 5,722,623/x
  3. Step 3: Cross multiply
    2,672,136x = 5,722,623 × 5,722,623
  4. Step 4: Simplify right side
    2,672,136x = 32,748,414,000,129
  5. Step 5: Solve for x
    x = 32,748,414,000,129/2,672,136
  6. Step 6: Final answer
    x = 12,255,519.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.