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Finding the Third Proportional to 816,395,198.06 and 1,260,683,777.25

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Solution

The third proportional to 816,395,198.06 and 1,260,683,777.25 is: 1,946,757,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,395,198.06 : 1,260,683,777.25 = 1,260,683,777.25 : x
  2. Step 2: Convert to fraction form
    816,395,198.06/1,260,683,777.25 = 1,260,683,777.25/x
  3. Step 3: Cross multiply
    816,395,198.06x = 1,260,683,777.25 × 1,260,683,777.25
  4. Step 4: Simplify right side
    816,395,198.06x = 1,589,323,586,221,327,616
  5. Step 5: Solve for x
    x = 1,589,323,586,221,327,616/816,395,198.06
  6. Step 6: Final answer
    x = 1,946,757,636.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.