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Finding the Third Proportional to 320,329,752 and 699,376,068

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Solution

The third proportional to 320,329,752 and 699,376,068 is: 1,526,948,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,752 : 699,376,068 = 699,376,068 : x
  2. Step 2: Convert to fraction form
    320,329,752/699,376,068 = 699,376,068/x
  3. Step 3: Cross multiply
    320,329,752x = 699,376,068 × 699,376,068
  4. Step 4: Simplify right side
    320,329,752x = 489,126,884,491,140,608
  5. Step 5: Solve for x
    x = 489,126,884,491,140,608/320,329,752
  6. Step 6: Final answer
    x = 1,526,948,032.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.