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Finding the Third Proportional to 555,684,822.38 and 1,097,315,982.38

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Solution

The third proportional to 555,684,822.38 and 1,097,315,982.38 is: 2,166,880,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,684,822.38 : 1,097,315,982.38 = 1,097,315,982.38 : x
  2. Step 2: Convert to fraction form
    555,684,822.38/1,097,315,982.38 = 1,097,315,982.38/x
  3. Step 3: Cross multiply
    555,684,822.38x = 1,097,315,982.38 × 1,097,315,982.38
  4. Step 4: Simplify right side
    555,684,822.38x = 1,204,102,365,175,611,392
  5. Step 5: Solve for x
    x = 1,204,102,365,175,611,392/555,684,822.38
  6. Step 6: Final answer
    x = 2,166,880,067.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.