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Finding the Third Proportional to 9,858,482,800 and 21,921,181,664

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Solution

The third proportional to 9,858,482,800 and 21,921,181,664 is: 48,743,626,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858,482,800 : 21,921,181,664 = 21,921,181,664 : x
  2. Step 2: Convert to fraction form
    9,858,482,800/21,921,181,664 = 21,921,181,664/x
  3. Step 3: Cross multiply
    9,858,482,800x = 21,921,181,664 × 21,921,181,664
  4. Step 4: Simplify right side
    9,858,482,800x = 480,538,205,546,089,807,872
  5. Step 5: Solve for x
    x = 480,538,205,546,089,807,872/9,858,482,800
  6. Step 6: Final answer
    x = 48,743,626,711.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.