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Finding the Third Proportional to 1,438,023,084 and 3,098,189,232

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Solution

The third proportional to 1,438,023,084 and 3,098,189,232 is: 6,674,980,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,023,084 : 3,098,189,232 = 3,098,189,232 : x
  2. Step 2: Convert to fraction form
    1,438,023,084/3,098,189,232 = 3,098,189,232/x
  3. Step 3: Cross multiply
    1,438,023,084x = 3,098,189,232 × 3,098,189,232
  4. Step 4: Simplify right side
    1,438,023,084x = 9,598,776,517,280,749,568
  5. Step 5: Solve for x
    x = 9,598,776,517,280,749,568/1,438,023,084
  6. Step 6: Final answer
    x = 6,674,980,828.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.