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Finding the Third Proportional to 320,329,756 and 699,376,076

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Solution

The third proportional to 320,329,756 and 699,376,076 is: 1,526,948,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,756 : 699,376,076 = 699,376,076 : x
  2. Step 2: Convert to fraction form
    320,329,756/699,376,076 = 699,376,076/x
  3. Step 3: Cross multiply
    320,329,756x = 699,376,076 × 699,376,076
  4. Step 4: Simplify right side
    320,329,756x = 489,126,895,681,157,760
  5. Step 5: Solve for x
    x = 489,126,895,681,157,760/320,329,756
  6. Step 6: Final answer
    x = 1,526,948,048.13

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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.