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Finding the Third Proportional to 5,901,269,822 and 9,635,222,388

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Solution

The third proportional to 5,901,269,822 and 9,635,222,388 is: 15,731,785,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901,269,822 : 9,635,222,388 = 9,635,222,388 : x
  2. Step 2: Convert to fraction form
    5,901,269,822/9,635,222,388 = 9,635,222,388/x
  3. Step 3: Cross multiply
    5,901,269,822x = 9,635,222,388 × 9,635,222,388
  4. Step 4: Simplify right side
    5,901,269,822x = 92,837,510,466,216,427,520
  5. Step 5: Solve for x
    x = 92,837,510,466,216,427,520/5,901,269,822
  6. Step 6: Final answer
    x = 15,731,785,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.