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Finding the Third Proportional to 871,545,090 and 1,867,427,520

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Solution

The third proportional to 871,545,090 and 1,867,427,520 is: 4,001,268,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,545,090 : 1,867,427,520 = 1,867,427,520 : x
  2. Step 2: Convert to fraction form
    871,545,090/1,867,427,520 = 1,867,427,520/x
  3. Step 3: Cross multiply
    871,545,090x = 1,867,427,520 × 1,867,427,520
  4. Step 4: Simplify right side
    871,545,090x = 3,487,285,542,453,350,400
  5. Step 5: Solve for x
    x = 3,487,285,542,453,350,400/871,545,090
  6. Step 6: Final answer
    x = 4,001,268,072.61

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Why These Related Problems?

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