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Finding the Third Proportional to 369,122,517 and 539,670,016.13

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Solution

The third proportional to 369,122,517 and 539,670,016.13 is: 789,016,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,122,517 : 539,670,016.13 = 539,670,016.13 : x
  2. Step 2: Convert to fraction form
    369,122,517/539,670,016.13 = 539,670,016.13/x
  3. Step 3: Cross multiply
    369,122,517x = 539,670,016.13 × 539,670,016.13
  4. Step 4: Simplify right side
    369,122,517x = 291,243,726,304,357,760
  5. Step 5: Solve for x
    x = 291,243,726,304,357,760/369,122,517
  6. Step 6: Final answer
    x = 789,016,418.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.