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Finding the Third Proportional to 6,774,664,156 and 14,675,067,968

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Solution

The third proportional to 6,774,664,156 and 14,675,067,968 is: 31,788,678,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,664,156 : 14,675,067,968 = 14,675,067,968 : x
  2. Step 2: Convert to fraction form
    6,774,664,156/14,675,067,968 = 14,675,067,968/x
  3. Step 3: Cross multiply
    6,774,664,156x = 14,675,067,968 × 14,675,067,968
  4. Step 4: Simplify right side
    6,774,664,156x = 215,357,619,865,419,644,928
  5. Step 5: Solve for x
    x = 215,357,619,865,419,644,928/6,774,664,156
  6. Step 6: Final answer
    x = 31,788,678,361.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.