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Finding the Third Proportional to 6,774,664,155 and 14,675,067,966

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Solution

The third proportional to 6,774,664,155 and 14,675,067,966 is: 31,788,678,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,664,155 : 14,675,067,966 = 14,675,067,966 : x
  2. Step 2: Convert to fraction form
    6,774,664,155/14,675,067,966 = 14,675,067,966/x
  3. Step 3: Cross multiply
    6,774,664,155x = 14,675,067,966 × 14,675,067,966
  4. Step 4: Simplify right side
    6,774,664,155x = 215,357,619,806,719,377,408
  5. Step 5: Solve for x
    x = 215,357,619,806,719,377,408/6,774,664,155
  6. Step 6: Final answer
    x = 31,788,678,357.99

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