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Finding the Third Proportional to 279,441,386,000 and 607,843,794,328

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Solution

The third proportional to 279,441,386,000 and 607,843,794,328 is: 1,322,188,111,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,441,386,000 : 607,843,794,328 = 607,843,794,328 : x
  2. Step 2: Convert to fraction form
    279,441,386,000/607,843,794,328 = 607,843,794,328/x
  3. Step 3: Cross multiply
    279,441,386,000x = 607,843,794,328 × 607,843,794,328
  4. Step 4: Simplify right side
    279,441,386,000x = 369,474,078,303,059,934,445,568
  5. Step 5: Solve for x
    x = 369,474,078,303,059,934,445,568/279,441,386,000
  6. Step 6: Final answer
    x = 1,322,188,111,044.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.