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Finding the Third Proportional to 943,967,064 and 1,480,805,757

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Solution

The third proportional to 943,967,064 and 1,480,805,757 is: 2,322,947,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,967,064 : 1,480,805,757 = 1,480,805,757 : x
  2. Step 2: Convert to fraction form
    943,967,064/1,480,805,757 = 1,480,805,757/x
  3. Step 3: Cross multiply
    943,967,064x = 1,480,805,757 × 1,480,805,757
  4. Step 4: Simplify right side
    943,967,064x = 2,192,785,689,964,343,040
  5. Step 5: Solve for x
    x = 2,192,785,689,964,343,040/943,967,064
  6. Step 6: Final answer
    x = 2,322,947,244.23

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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.