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Finding the Third Proportional to 209,329,458,852 and 456,545,346,744

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Solution

The third proportional to 209,329,458,852 and 456,545,346,744 is: 995,720,596,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,329,458,852 : 456,545,346,744 = 456,545,346,744 : x
  2. Step 2: Convert to fraction form
    209,329,458,852/456,545,346,744 = 456,545,346,744/x
  3. Step 3: Cross multiply
    209,329,458,852x = 456,545,346,744 × 456,545,346,744
  4. Step 4: Simplify right side
    209,329,458,852x = 208,433,653,633,599,204,753,408
  5. Step 5: Solve for x
    x = 208,433,653,633,599,204,753,408/209,329,458,852
  6. Step 6: Final answer
    x = 995,720,596,502.22

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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.