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Finding the Third Proportional to 382,177,784 and 780,396,784

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Solution

The third proportional to 382,177,784 and 780,396,784 is: 1,593,549,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,177,784 : 780,396,784 = 780,396,784 : x
  2. Step 2: Convert to fraction form
    382,177,784/780,396,784 = 780,396,784/x
  3. Step 3: Cross multiply
    382,177,784x = 780,396,784 × 780,396,784
  4. Step 4: Simplify right side
    382,177,784x = 609,019,140,477,542,656
  5. Step 5: Solve for x
    x = 609,019,140,477,542,656/382,177,784
  6. Step 6: Final answer
    x = 1,593,549,300.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.