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Finding the Third Proportional to 1,448,670,811.50 and 3,138,008,427

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Solution

The third proportional to 1,448,670,811.50 and 3,138,008,427 is: 6,797,332,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,670,811.50 : 3,138,008,427 = 3,138,008,427 : x
  2. Step 2: Convert to fraction form
    1,448,670,811.50/3,138,008,427 = 3,138,008,427/x
  3. Step 3: Cross multiply
    1,448,670,811.50x = 3,138,008,427 × 3,138,008,427
  4. Step 4: Simplify right side
    1,448,670,811.50x = 9,847,096,887,923,013,632
  5. Step 5: Solve for x
    x = 9,847,096,887,923,013,632/1,448,670,811.50
  6. Step 6: Final answer
    x = 6,797,332,292.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.