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Finding the Third Proportional to 306,484,728 and 680,993,904

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Solution

The third proportional to 306,484,728 and 680,993,904 is: 1,513,134,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484,728 : 680,993,904 = 680,993,904 : x
  2. Step 2: Convert to fraction form
    306,484,728/680,993,904 = 680,993,904/x
  3. Step 3: Cross multiply
    306,484,728x = 680,993,904 × 680,993,904
  4. Step 4: Simplify right side
    306,484,728x = 463,752,697,285,161,216
  5. Step 5: Solve for x
    x = 463,752,697,285,161,216/306,484,728
  6. Step 6: Final answer
    x = 1,513,134,766.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.