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Finding the Third Proportional to 419,162,095,786 and 911,765,724,848

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Solution

The third proportional to 419,162,095,786 and 911,765,724,848 is: 1,983,282,232,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,162,095,786 : 911,765,724,848 = 911,765,724,848 : x
  2. Step 2: Convert to fraction form
    419,162,095,786/911,765,724,848 = 911,765,724,848/x
  3. Step 3: Cross multiply
    419,162,095,786x = 911,765,724,848 × 911,765,724,848
  4. Step 4: Simplify right side
    419,162,095,786x = 831,316,737,007,598,866,268,160
  5. Step 5: Solve for x
    x = 831,316,737,007,598,866,268,160/419,162,095,786
  6. Step 6: Final answer
    x = 1,983,282,232,256.09

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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.