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Finding the Third Proportional to 647,625,036 and 994,831,271

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Solution

The third proportional to 647,625,036 and 994,831,271 is: 1,528,182,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,625,036 : 994,831,271 = 994,831,271 : x
  2. Step 2: Convert to fraction form
    647,625,036/994,831,271 = 994,831,271/x
  3. Step 3: Cross multiply
    647,625,036x = 994,831,271 × 994,831,271
  4. Step 4: Simplify right side
    647,625,036x = 989,689,257,759,475,456
  5. Step 5: Solve for x
    x = 989,689,257,759,475,456/647,625,036
  6. Step 6: Final answer
    x = 1,528,182,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.