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Finding the Third Proportional to 329,115,030 and 685,470,716

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Solution

The third proportional to 329,115,030 and 685,470,716 is: 1,427,677,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,115,030 : 685,470,716 = 685,470,716 : x
  2. Step 2: Convert to fraction form
    329,115,030/685,470,716 = 685,470,716/x
  3. Step 3: Cross multiply
    329,115,030x = 685,470,716 × 685,470,716
  4. Step 4: Simplify right side
    329,115,030x = 469,870,102,493,552,640
  5. Step 5: Solve for x
    x = 469,870,102,493,552,640/329,115,030
  6. Step 6: Final answer
    x = 1,427,677,436.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.