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Finding the Third Proportional to 5,767,377 and 13,614,444

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Solution

The third proportional to 5,767,377 and 13,614,444 is: 32,138,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,377 : 13,614,444 = 13,614,444 : x
  2. Step 2: Convert to fraction form
    5,767,377/13,614,444 = 13,614,444/x
  3. Step 3: Cross multiply
    5,767,377x = 13,614,444 × 13,614,444
  4. Step 4: Simplify right side
    5,767,377x = 185,353,085,429,136
  5. Step 5: Solve for x
    x = 185,353,085,429,136/5,767,377
  6. Step 6: Final answer
    x = 32,138,194.79

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