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Finding the Third Proportional to 1,539,754,838 and 3,161,136,616

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Solution

The third proportional to 1,539,754,838 and 3,161,136,616 is: 6,489,854,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,754,838 : 3,161,136,616 = 3,161,136,616 : x
  2. Step 2: Convert to fraction form
    1,539,754,838/3,161,136,616 = 3,161,136,616/x
  3. Step 3: Cross multiply
    1,539,754,838x = 3,161,136,616 × 3,161,136,616
  4. Step 4: Simplify right side
    1,539,754,838x = 9,992,784,705,015,930,880
  5. Step 5: Solve for x
    x = 9,992,784,705,015,930,880/1,539,754,838
  6. Step 6: Final answer
    x = 6,489,854,396.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.