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Finding the Third Proportional to 3,465,388,224 and 7,483,198,992

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Solution

The third proportional to 3,465,388,224 and 7,483,198,992 is: 16,159,305,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,388,224 : 7,483,198,992 = 7,483,198,992 : x
  2. Step 2: Convert to fraction form
    3,465,388,224/7,483,198,992 = 7,483,198,992/x
  3. Step 3: Cross multiply
    3,465,388,224x = 7,483,198,992 × 7,483,198,992
  4. Step 4: Simplify right side
    3,465,388,224x = 55,998,267,153,869,815,808
  5. Step 5: Solve for x
    x = 55,998,267,153,869,815,808/3,465,388,224
  6. Step 6: Final answer
    x = 16,159,305,547.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.