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Finding the Third Proportional to 2,897,136 and 6,236,064

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Solution

The third proportional to 2,897,136 and 6,236,064 is: 13,423,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,136 : 6,236,064 = 6,236,064 : x
  2. Step 2: Convert to fraction form
    2,897,136/6,236,064 = 6,236,064/x
  3. Step 3: Cross multiply
    2,897,136x = 6,236,064 × 6,236,064
  4. Step 4: Simplify right side
    2,897,136x = 38,888,494,212,096
  5. Step 5: Solve for x
    x = 38,888,494,212,096/2,897,136
  6. Step 6: Final answer
    x = 13,423,082.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.