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Finding the Third Proportional to 545,498,149 and 831,866,629

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Solution

The third proportional to 545,498,149 and 831,866,629 is: 1,268,569,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,498,149 : 831,866,629 = 831,866,629 : x
  2. Step 2: Convert to fraction form
    545,498,149/831,866,629 = 831,866,629/x
  3. Step 3: Cross multiply
    545,498,149x = 831,866,629 × 831,866,629
  4. Step 4: Simplify right side
    545,498,149x = 692,002,088,443,823,616
  5. Step 5: Solve for x
    x = 692,002,088,443,823,616/545,498,149
  6. Step 6: Final answer
    x = 1,268,569,086.28

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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.