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Finding the Third Proportional to 762,920,692 and 1,647,805,976

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Solution

The third proportional to 762,920,692 and 1,647,805,976 is: 3,559,039,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,920,692 : 1,647,805,976 = 1,647,805,976 : x
  2. Step 2: Convert to fraction form
    762,920,692/1,647,805,976 = 1,647,805,976/x
  3. Step 3: Cross multiply
    762,920,692x = 1,647,805,976 × 1,647,805,976
  4. Step 4: Simplify right side
    762,920,692x = 2,715,264,534,541,312,512
  5. Step 5: Solve for x
    x = 2,715,264,534,541,312,512/762,920,692
  6. Step 6: Final answer
    x = 3,559,039,049.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.