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Finding the Third Proportional to 2,617,816,689 and 4,167,477,822

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Solution

The third proportional to 2,617,816,689 and 4,167,477,822 is: 6,634,487,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,816,689 : 4,167,477,822 = 4,167,477,822 : x
  2. Step 2: Convert to fraction form
    2,617,816,689/4,167,477,822 = 4,167,477,822/x
  3. Step 3: Cross multiply
    2,617,816,689x = 4,167,477,822 × 4,167,477,822
  4. Step 4: Simplify right side
    2,617,816,689x = 17,367,871,396,861,863,936
  5. Step 5: Solve for x
    x = 17,367,871,396,861,863,936/2,617,816,689
  6. Step 6: Final answer
    x = 6,634,487,231.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.