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Finding the Third Proportional to 24,530,383,766 and 53,247,313,320

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Solution

The third proportional to 24,530,383,766 and 53,247,313,320 is: 115,582,226,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530,383,766 : 53,247,313,320 = 53,247,313,320 : x
  2. Step 2: Convert to fraction form
    24,530,383,766/53,247,313,320 = 53,247,313,320/x
  3. Step 3: Cross multiply
    24,530,383,766x = 53,247,313,320 × 53,247,313,320
  4. Step 4: Simplify right side
    24,530,383,766x = 2,835,276,375,798,249,422,848
  5. Step 5: Solve for x
    x = 2,835,276,375,798,249,422,848/24,530,383,766
  6. Step 6: Final answer
    x = 115,582,226,631.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.