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Finding the Third Proportional to 326,572,613,208 and 454,073,115,055

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Solution

The third proportional to 326,572,613,208 and 454,073,115,055 is: 631,352,371,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,572,613,208 : 454,073,115,055 = 454,073,115,055 : x
  2. Step 2: Convert to fraction form
    326,572,613,208/454,073,115,055 = 454,073,115,055/x
  3. Step 3: Cross multiply
    326,572,613,208x = 454,073,115,055 × 454,073,115,055
  4. Step 4: Simplify right side
    326,572,613,208x = 206,182,393,815,751,282,655,232
  5. Step 5: Solve for x
    x = 206,182,393,815,751,282,655,232/326,572,613,208
  6. Step 6: Final answer
    x = 631,352,371,499.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.