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Finding the Third Proportional to 34,813,681,378,650 and 74,517,857,683,158

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Solution

The third proportional to 34,813,681,378,650 and 74,517,857,683,158 is: 159,503,703,538,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813,681,378,650 : 74,517,857,683,158 = 74,517,857,683,158 : x
  2. Step 2: Convert to fraction form
    34,813,681,378,650/74,517,857,683,158 = 74,517,857,683,158/x
  3. Step 3: Cross multiply
    34,813,681,378,650x = 74,517,857,683,158 × 74,517,857,683,158
  4. Step 4: Simplify right side
    34,813,681,378,650x = 5,552,911,113,687,389,364,568,457,216
  5. Step 5: Solve for x
    x = 5,552,911,113,687,389,364,568,457,216/34,813,681,378,650
  6. Step 6: Final answer
    x = 159,503,703,538,023.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.