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Finding the Third Proportional to 664,282,177.50 and 1,427,145,968.25

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Solution

The third proportional to 664,282,177.50 and 1,427,145,968.25 is: 3,066,084,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282,177.50 : 1,427,145,968.25 = 1,427,145,968.25 : x
  2. Step 2: Convert to fraction form
    664,282,177.50/1,427,145,968.25 = 1,427,145,968.25/x
  3. Step 3: Cross multiply
    664,282,177.50x = 1,427,145,968.25 × 1,427,145,968.25
  4. Step 4: Simplify right side
    664,282,177.50x = 2,036,745,614,692,229,888
  5. Step 5: Solve for x
    x = 2,036,745,614,692,229,888/664,282,177.50
  6. Step 6: Final answer
    x = 3,066,084,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.