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Finding the Third Proportional to 12,383,483,584 and 26,943,632,864

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Solution

The third proportional to 12,383,483,584 and 26,943,632,864 is: 58,623,193,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383,483,584 : 26,943,632,864 = 26,943,632,864 : x
  2. Step 2: Convert to fraction form
    12,383,483,584/26,943,632,864 = 26,943,632,864/x
  3. Step 3: Cross multiply
    12,383,483,584x = 26,943,632,864 × 26,943,632,864
  4. Step 4: Simplify right side
    12,383,483,584x = 725,959,351,910,020,808,704
  5. Step 5: Solve for x
    x = 725,959,351,910,020,808,704/12,383,483,584
  6. Step 6: Final answer
    x = 58,623,193,303.05

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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.