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Finding the Third Proportional to 227,352,649,206 and 489,187,525,863

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Solution

The third proportional to 227,352,649,206 and 489,187,525,863 is: 1,052,569,373,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,352,649,206 : 489,187,525,863 = 489,187,525,863 : x
  2. Step 2: Convert to fraction form
    227,352,649,206/489,187,525,863 = 489,187,525,863/x
  3. Step 3: Cross multiply
    227,352,649,206x = 489,187,525,863 × 489,187,525,863
  4. Step 4: Simplify right side
    227,352,649,206x = 239,304,435,459,963,291,172,864
  5. Step 5: Solve for x
    x = 239,304,435,459,963,291,172,864/227,352,649,206
  6. Step 6: Final answer
    x = 1,052,569,373,155.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.