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Finding the Third Proportional to 3,729,424,380 and 5,592,767,130

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Solution

The third proportional to 3,729,424,380 and 5,592,767,130 is: 8,387,097,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,424,380 : 5,592,767,130 = 5,592,767,130 : x
  2. Step 2: Convert to fraction form
    3,729,424,380/5,592,767,130 = 5,592,767,130/x
  3. Step 3: Cross multiply
    3,729,424,380x = 5,592,767,130 × 5,592,767,130
  4. Step 4: Simplify right side
    3,729,424,380x = 31,279,044,170,408,435,712
  5. Step 5: Solve for x
    x = 31,279,044,170,408,435,712/3,729,424,380
  6. Step 6: Final answer
    x = 8,387,097,037.86

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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.