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Finding the Third Proportional to 1,624,227,976 and 2,406,845,812

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Solution

The third proportional to 1,624,227,976 and 2,406,845,812 is: 3,566,560,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,227,976 : 2,406,845,812 = 2,406,845,812 : x
  2. Step 2: Convert to fraction form
    1,624,227,976/2,406,845,812 = 2,406,845,812/x
  3. Step 3: Cross multiply
    1,624,227,976x = 2,406,845,812 × 2,406,845,812
  4. Step 4: Simplify right side
    1,624,227,976x = 5,792,906,762,741,939,200
  5. Step 5: Solve for x
    x = 5,792,906,762,741,939,200/1,624,227,976
  6. Step 6: Final answer
    x = 3,566,560,143.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.