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Finding the Third Proportional to 4,571,595,756 and 9,922,531,032

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Solution

The third proportional to 4,571,595,756 and 9,922,531,032 is: 21,536,598,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,595,756 : 9,922,531,032 = 9,922,531,032 : x
  2. Step 2: Convert to fraction form
    4,571,595,756/9,922,531,032 = 9,922,531,032/x
  3. Step 3: Cross multiply
    4,571,595,756x = 9,922,531,032 × 9,922,531,032
  4. Step 4: Simplify right side
    4,571,595,756x = 98,456,622,081,002,979,328
  5. Step 5: Solve for x
    x = 98,456,622,081,002,979,328/4,571,595,756
  6. Step 6: Final answer
    x = 21,536,598,451.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.