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Finding the Third Proportional to 943,967,055 and 1,480,805,766

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Solution

The third proportional to 943,967,055 and 1,480,805,766 is: 2,322,947,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,967,055 : 1,480,805,766 = 1,480,805,766 : x
  2. Step 2: Convert to fraction form
    943,967,055/1,480,805,766 = 1,480,805,766/x
  3. Step 3: Cross multiply
    943,967,055x = 1,480,805,766 × 1,480,805,766
  4. Step 4: Simplify right side
    943,967,055x = 2,192,785,716,618,846,720
  5. Step 5: Solve for x
    x = 2,192,785,716,618,846,720/943,967,055
  6. Step 6: Final answer
    x = 2,322,947,294.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.