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Finding the Third Proportional to 329,023,699,110 and 716,458,801,422

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Solution

The third proportional to 329,023,699,110 and 716,458,801,422 is: 1,560,110,154,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,023,699,110 : 716,458,801,422 = 716,458,801,422 : x
  2. Step 2: Convert to fraction form
    329,023,699,110/716,458,801,422 = 716,458,801,422/x
  3. Step 3: Cross multiply
    329,023,699,110x = 716,458,801,422 × 716,458,801,422
  4. Step 4: Simplify right side
    329,023,699,110x = 513,313,214,135,048,840,675,328
  5. Step 5: Solve for x
    x = 513,313,214,135,048,840,675,328/329,023,699,110
  6. Step 6: Final answer
    x = 1,560,110,154,750.39

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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.