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Finding the Third Proportional to 852,286,652,177 and 1,854,610,126,055

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Solution

The third proportional to 852,286,652,177 and 1,854,610,126,055 is: 4,035,706,426,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,286,652,177 : 1,854,610,126,055 = 1,854,610,126,055 : x
  2. Step 2: Convert to fraction form
    852,286,652,177/1,854,610,126,055 = 1,854,610,126,055/x
  3. Step 3: Cross multiply
    852,286,652,177x = 1,854,610,126,055 × 1,854,610,126,055
  4. Step 4: Simplify right side
    852,286,652,177x = 3,439,578,719,665,743,005,220,864
  5. Step 5: Solve for x
    x = 3,439,578,719,665,743,005,220,864/852,286,652,177
  6. Step 6: Final answer
    x = 4,035,706,426,799.02

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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.