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Finding the Third Proportional to 320,329,731 and 699,376,038

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Solution

The third proportional to 320,329,731 and 699,376,038 is: 1,526,948,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,731 : 699,376,038 = 699,376,038 : x
  2. Step 2: Convert to fraction form
    320,329,731/699,376,038 = 699,376,038/x
  3. Step 3: Cross multiply
    320,329,731x = 699,376,038 × 699,376,038
  4. Step 4: Simplify right side
    320,329,731x = 489,126,842,528,577,472
  5. Step 5: Solve for x
    x = 489,126,842,528,577,472/320,329,731
  6. Step 6: Final answer
    x = 1,526,948,001.37

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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.