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Finding the Third Proportional to 326,572,613,217 and 454,073,115,073.50

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Solution

The third proportional to 326,572,613,217 and 454,073,115,073.50 is: 631,352,371,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,572,613,217 : 454,073,115,073.50 = 454,073,115,073.50 : x
  2. Step 2: Convert to fraction form
    326,572,613,217/454,073,115,073.50 = 454,073,115,073.50/x
  3. Step 3: Cross multiply
    326,572,613,217x = 454,073,115,073.50 × 454,073,115,073.50
  4. Step 4: Simplify right side
    326,572,613,217x = 206,182,393,832,551,986,757,632
  5. Step 5: Solve for x
    x = 206,182,393,832,551,986,757,632/326,572,613,217
  6. Step 6: Final answer
    x = 631,352,371,533.83

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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.