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Finding the Third Proportional to 740,192,784 and 1,625,646,994.50

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Solution

The third proportional to 740,192,784 and 1,625,646,994.50 is: 3,570,324,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,192,784 : 1,625,646,994.50 = 1,625,646,994.50 : x
  2. Step 2: Convert to fraction form
    740,192,784/1,625,646,994.50 = 1,625,646,994.50/x
  3. Step 3: Cross multiply
    740,192,784x = 1,625,646,994.50 × 1,625,646,994.50
  4. Step 4: Simplify right side
    740,192,784x = 2,642,728,150,726,882,816
  5. Step 5: Solve for x
    x = 2,642,728,150,726,882,816/740,192,784
  6. Step 6: Final answer
    x = 3,570,324,120.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.