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Finding the Third Proportional to 871,740,165 and 1,859,861,034

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Solution

The third proportional to 871,740,165 and 1,859,861,034 is: 3,968,020,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,740,165 : 1,859,861,034 = 1,859,861,034 : x
  2. Step 2: Convert to fraction form
    871,740,165/1,859,861,034 = 1,859,861,034/x
  3. Step 3: Cross multiply
    871,740,165x = 1,859,861,034 × 1,859,861,034
  4. Step 4: Simplify right side
    871,740,165x = 3,459,083,065,791,548,928
  5. Step 5: Solve for x
    x = 3,459,083,065,791,548,928/871,740,165
  6. Step 6: Final answer
    x = 3,968,020,752.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.