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Finding the Third Proportional to 12,106,542,428 and 17,041,250,452

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Solution

The third proportional to 12,106,542,428 and 17,041,250,452 is: 23,987,378,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106,542,428 : 17,041,250,452 = 17,041,250,452 : x
  2. Step 2: Convert to fraction form
    12,106,542,428/17,041,250,452 = 17,041,250,452/x
  3. Step 3: Cross multiply
    12,106,542,428x = 17,041,250,452 × 17,041,250,452
  4. Step 4: Simplify right side
    12,106,542,428x = 290,404,216,967,790,198,784
  5. Step 5: Solve for x
    x = 290,404,216,967,790,198,784/12,106,542,428
  6. Step 6: Final answer
    x = 23,987,378,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.