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Finding the Third Proportional to 3,729,424,384 and 5,592,767,136

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Solution

The third proportional to 3,729,424,384 and 5,592,767,136 is: 8,387,097,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,424,384 : 5,592,767,136 = 5,592,767,136 : x
  2. Step 2: Convert to fraction form
    3,729,424,384/5,592,767,136 = 5,592,767,136/x
  3. Step 3: Cross multiply
    3,729,424,384x = 5,592,767,136 × 5,592,767,136
  4. Step 4: Simplify right side
    3,729,424,384x = 31,279,044,237,521,641,472
  5. Step 5: Solve for x
    x = 31,279,044,237,521,641,472/3,729,424,384
  6. Step 6: Final answer
    x = 8,387,097,046.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.