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Finding the Third Proportional to 3,322,024,830 and 7,841,957,173

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Solution

The third proportional to 3,322,024,830 and 7,841,957,173 is: 18,511,689,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322,024,830 : 7,841,957,173 = 7,841,957,173 : x
  2. Step 2: Convert to fraction form
    3,322,024,830/7,841,957,173 = 7,841,957,173/x
  3. Step 3: Cross multiply
    3,322,024,830x = 7,841,957,173 × 7,841,957,173
  4. Step 4: Simplify right side
    3,322,024,830x = 61,496,292,303,166,152,704
  5. Step 5: Solve for x
    x = 61,496,292,303,166,152,704/3,322,024,830
  6. Step 6: Final answer
    x = 18,511,689,541.82

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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.