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Finding the Third Proportional to 3,437,942,616 and 7,365,990,352.50

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Solution

The third proportional to 3,437,942,616 and 7,365,990,352.50 is: 15,782,059,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,942,616 : 7,365,990,352.50 = 7,365,990,352.50 : x
  2. Step 2: Convert to fraction form
    3,437,942,616/7,365,990,352.50 = 7,365,990,352.50/x
  3. Step 3: Cross multiply
    3,437,942,616x = 7,365,990,352.50 × 7,365,990,352.50
  4. Step 4: Simplify right side
    3,437,942,616x = 54,257,813,873,123,074,048
  5. Step 5: Solve for x
    x = 54,257,813,873,123,074,048/3,437,942,616
  6. Step 6: Final answer
    x = 15,782,059,194.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.