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Finding the Third Proportional to 419,162,079,008 and 911,765,691,510

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Solution

The third proportional to 419,162,079,008 and 911,765,691,510 is: 1,983,282,166,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,162,079,008 : 911,765,691,510 = 911,765,691,510 : x
  2. Step 2: Convert to fraction form
    419,162,079,008/911,765,691,510 = 911,765,691,510/x
  3. Step 3: Cross multiply
    419,162,079,008x = 911,765,691,510 × 911,765,691,510
  4. Step 4: Simplify right side
    419,162,079,008x = 831,316,676,214,708,552,859,648
  5. Step 5: Solve for x
    x = 831,316,676,214,708,552,859,648/419,162,079,008
  6. Step 6: Final answer
    x = 1,983,282,166,607.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.