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Finding the Third Proportional to 1,082,722,219.50 and 2,320,836,939

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Solution

The third proportional to 1,082,722,219.50 and 2,320,836,939 is: 4,974,760,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,722,219.50 : 2,320,836,939 = 2,320,836,939 : x
  2. Step 2: Convert to fraction form
    1,082,722,219.50/2,320,836,939 = 2,320,836,939/x
  3. Step 3: Cross multiply
    1,082,722,219.50x = 2,320,836,939 × 2,320,836,939
  4. Step 4: Simplify right side
    1,082,722,219.50x = 5,386,284,097,426,889,728
  5. Step 5: Solve for x
    x = 5,386,284,097,426,889,728/1,082,722,219.50
  6. Step 6: Final answer
    x = 4,974,760,839.32

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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.