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Finding the Third Proportional to 5,578,445,758.22 and 8,529,910,198.63

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Solution

The third proportional to 5,578,445,758.22 and 8,529,910,198.63 is: 13,042,946,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578,445,758.22 : 8,529,910,198.63 = 8,529,910,198.63 : x
  2. Step 2: Convert to fraction form
    5,578,445,758.22/8,529,910,198.63 = 8,529,910,198.63/x
  3. Step 3: Cross multiply
    5,578,445,758.22x = 8,529,910,198.63 × 8,529,910,198.63
  4. Step 4: Simplify right side
    5,578,445,758.22x = 72,759,367,996,678,438,912
  5. Step 5: Solve for x
    x = 72,759,367,996,678,438,912/5,578,445,758.22
  6. Step 6: Final answer
    x = 13,042,946,216.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.