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Finding the Third Proportional to 2,816,147,351 and 5,864,051,866.50

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Solution

The third proportional to 2,816,147,351 and 5,864,051,866.50 is: 12,210,690,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816,147,351 : 5,864,051,866.50 = 5,864,051,866.50 : x
  2. Step 2: Convert to fraction form
    2,816,147,351/5,864,051,866.50 = 5,864,051,866.50/x
  3. Step 3: Cross multiply
    2,816,147,351x = 5,864,051,866.50 × 5,864,051,866.50
  4. Step 4: Simplify right side
    2,816,147,351x = 34,387,104,293,002,133,504
  5. Step 5: Solve for x
    x = 34,387,104,293,002,133,504/2,816,147,351
  6. Step 6: Final answer
    x = 12,210,690,708.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.