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Finding the Third Proportional to 360,371,022 and 786,798,192

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Solution

The third proportional to 360,371,022 and 786,798,192 is: 1,717,816,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,371,022 : 786,798,192 = 786,798,192 : x
  2. Step 2: Convert to fraction form
    360,371,022/786,798,192 = 786,798,192/x
  3. Step 3: Cross multiply
    360,371,022x = 786,798,192 × 786,798,192
  4. Step 4: Simplify right side
    360,371,022x = 619,051,394,934,468,864
  5. Step 5: Solve for x
    x = 619,051,394,934,468,864/360,371,022
  6. Step 6: Final answer
    x = 1,717,816,797.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.