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Finding the Third Proportional to 16,623,416,840 and 24,957,010,816

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Solution

The third proportional to 16,623,416,840 and 24,957,010,816 is: 37,468,373,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623,416,840 : 24,957,010,816 = 24,957,010,816 : x
  2. Step 2: Convert to fraction form
    16,623,416,840/24,957,010,816 = 24,957,010,816/x
  3. Step 3: Cross multiply
    16,623,416,840x = 24,957,010,816 × 24,957,010,816
  4. Step 4: Simplify right side
    16,623,416,840x = 622,852,388,869,940,969,472
  5. Step 5: Solve for x
    x = 622,852,388,869,940,969,472/16,623,416,840
  6. Step 6: Final answer
    x = 37,468,373,371.42

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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.