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Finding the Third Proportional to 2,879,098,245,044 and 5,996,497,759,225

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Solution

The third proportional to 2,879,098,245,044 and 5,996,497,759,225 is: 12,489,322,112,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,098,245,044 : 5,996,497,759,225 = 5,996,497,759,225 : x
  2. Step 2: Convert to fraction form
    2,879,098,245,044/5,996,497,759,225 = 5,996,497,759,225/x
  3. Step 3: Cross multiply
    2,879,098,245,044x = 5,996,497,759,225 × 5,996,497,759,225
  4. Step 4: Simplify right side
    2,879,098,245,044x = 35,957,985,376,390,445,503,873,024
  5. Step 5: Solve for x
    x = 35,957,985,376,390,445,503,873,024/2,879,098,245,044
  6. Step 6: Final answer
    x = 12,489,322,112,674.52

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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.