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Finding the Third Proportional to 3,322,024,828 and 7,841,957,168

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Solution

The third proportional to 3,322,024,828 and 7,841,957,168 is: 18,511,689,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322,024,828 : 7,841,957,168 = 7,841,957,168 : x
  2. Step 2: Convert to fraction form
    3,322,024,828/7,841,957,168 = 7,841,957,168/x
  3. Step 3: Cross multiply
    3,322,024,828x = 7,841,957,168 × 7,841,957,168
  4. Step 4: Simplify right side
    3,322,024,828x = 61,496,292,224,746,577,920
  5. Step 5: Solve for x
    x = 61,496,292,224,746,577,920/3,322,024,828
  6. Step 6: Final answer
    x = 18,511,689,529.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.