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Finding the Third Proportional to 303,181,784 and 666,815,896

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Solution

The third proportional to 303,181,784 and 666,815,896 is: 1,466,590,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,181,784 : 666,815,896 = 666,815,896 : x
  2. Step 2: Convert to fraction form
    303,181,784/666,815,896 = 666,815,896/x
  3. Step 3: Cross multiply
    303,181,784x = 666,815,896 × 666,815,896
  4. Step 4: Simplify right side
    303,181,784x = 444,643,439,158,282,816
  5. Step 5: Solve for x
    x = 444,643,439,158,282,816/303,181,784
  6. Step 6: Final answer
    x = 1,466,590,219.54

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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.