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Finding the Third Proportional to 320,329,744 and 699,376,060

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Solution

The third proportional to 320,329,744 and 699,376,060 is: 1,526,948,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,744 : 699,376,060 = 699,376,060 : x
  2. Step 2: Convert to fraction form
    320,329,744/699,376,060 = 699,376,060/x
  3. Step 3: Cross multiply
    320,329,744x = 699,376,060 × 699,376,060
  4. Step 4: Simplify right side
    320,329,744x = 489,126,873,301,123,584
  5. Step 5: Solve for x
    x = 489,126,873,301,123,584/320,329,744
  6. Step 6: Final answer
    x = 1,526,948,035.46

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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.