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Finding the Third Proportional to 2,879,098,245,042 and 5,996,497,759,221

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Solution

The third proportional to 2,879,098,245,042 and 5,996,497,759,221 is: 12,489,322,112,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,098,245,042 : 5,996,497,759,221 = 5,996,497,759,221 : x
  2. Step 2: Convert to fraction form
    2,879,098,245,042/5,996,497,759,221 = 5,996,497,759,221/x
  3. Step 3: Cross multiply
    2,879,098,245,042x = 5,996,497,759,221 × 5,996,497,759,221
  4. Step 4: Simplify right side
    2,879,098,245,042x = 35,957,985,376,342,475,014,144,000
  5. Step 5: Solve for x
    x = 35,957,985,376,342,475,014,144,000/2,879,098,245,042
  6. Step 6: Final answer
    x = 12,489,322,112,666.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.