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Finding the Third Proportional to 1,151,563,743 and 2,486,624,022

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Solution

The third proportional to 1,151,563,743 and 2,486,624,022 is: 5,369,480,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,563,743 : 2,486,624,022 = 2,486,624,022 : x
  2. Step 2: Convert to fraction form
    1,151,563,743/2,486,624,022 = 2,486,624,022/x
  3. Step 3: Cross multiply
    1,151,563,743x = 2,486,624,022 × 2,486,624,022
  4. Step 4: Simplify right side
    1,151,563,743x = 6,183,299,026,787,456,000
  5. Step 5: Solve for x
    x = 6,183,299,026,787,456,000/1,151,563,743
  6. Step 6: Final answer
    x = 5,369,480,468.95

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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.