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Finding the Third Proportional to 167,949,069,613 and 370,131,509,267

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Solution

The third proportional to 167,949,069,613 and 370,131,509,267 is: 815,707,609,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,069,613 : 370,131,509,267 = 370,131,509,267 : x
  2. Step 2: Convert to fraction form
    167,949,069,613/370,131,509,267 = 370,131,509,267/x
  3. Step 3: Cross multiply
    167,949,069,613x = 370,131,509,267 × 370,131,509,267
  4. Step 4: Simplify right side
    167,949,069,613x = 136,997,334,152,267,304,009,728
  5. Step 5: Solve for x
    x = 136,997,334,152,267,304,009,728/167,949,069,613
  6. Step 6: Final answer
    x = 815,707,609,860.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.