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Finding the Third Proportional to 1,071,882,722 and 2,321,837,536

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Solution

The third proportional to 1,071,882,722 and 2,321,837,536 is: 5,029,402,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,882,722 : 2,321,837,536 = 2,321,837,536 : x
  2. Step 2: Convert to fraction form
    1,071,882,722/2,321,837,536 = 2,321,837,536/x
  3. Step 3: Cross multiply
    1,071,882,722x = 2,321,837,536 × 2,321,837,536
  4. Step 4: Simplify right side
    1,071,882,722x = 5,390,929,543,578,551,296
  5. Step 5: Solve for x
    x = 5,390,929,543,578,551,296/1,071,882,722
  6. Step 6: Final answer
    x = 5,029,402,408.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.