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Finding the Third Proportional to 545,498,147 and 831,866,626

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Solution

The third proportional to 545,498,147 and 831,866,626 is: 1,268,569,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,498,147 : 831,866,626 = 831,866,626 : x
  2. Step 2: Convert to fraction form
    545,498,147/831,866,626 = 831,866,626/x
  3. Step 3: Cross multiply
    545,498,147x = 831,866,626 × 831,866,626
  4. Step 4: Simplify right side
    545,498,147x = 692,002,083,452,623,872
  5. Step 5: Solve for x
    x = 692,002,083,452,623,872/545,498,147
  6. Step 6: Final answer
    x = 1,268,569,081.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.