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Finding the Third Proportional to 3,850,528,623 and 8,439,228,795

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Solution

The third proportional to 3,850,528,623 and 8,439,228,795 is: 18,496,313,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850,528,623 : 8,439,228,795 = 8,439,228,795 : x
  2. Step 2: Convert to fraction form
    3,850,528,623/8,439,228,795 = 8,439,228,795/x
  3. Step 3: Cross multiply
    3,850,528,623x = 8,439,228,795 × 8,439,228,795
  4. Step 4: Simplify right side
    3,850,528,623x = 71,220,582,654,357,151,744
  5. Step 5: Solve for x
    x = 71,220,582,654,357,151,744/3,850,528,623
  6. Step 6: Final answer
    x = 18,496,313,007.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.