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Finding the Third Proportional to 3,729,424,370 and 5,592,767,115

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Solution

The third proportional to 3,729,424,370 and 5,592,767,115 is: 8,387,097,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,424,370 : 5,592,767,115 = 5,592,767,115 : x
  2. Step 2: Convert to fraction form
    3,729,424,370/5,592,767,115 = 5,592,767,115/x
  3. Step 3: Cross multiply
    3,729,424,370x = 5,592,767,115 × 5,592,767,115
  4. Step 4: Simplify right side
    3,729,424,370x = 31,279,044,002,625,421,312
  5. Step 5: Solve for x
    x = 31,279,044,002,625,421,312/3,729,424,370
  6. Step 6: Final answer
    x = 8,387,097,015.36

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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.