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Finding the Third Proportional to 276,100,024 and 439,541,664

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Solution

The third proportional to 276,100,024 and 439,541,664 is: 699,735,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,100,024 : 439,541,664 = 439,541,664 : x
  2. Step 2: Convert to fraction form
    276,100,024/439,541,664 = 439,541,664/x
  3. Step 3: Cross multiply
    276,100,024x = 439,541,664 × 439,541,664
  4. Step 4: Simplify right side
    276,100,024x = 193,196,874,391,888,896
  5. Step 5: Solve for x
    x = 193,196,874,391,888,896/276,100,024
  6. Step 6: Final answer
    x = 699,735,087.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.