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Finding the Third Proportional to 12,106,542,326.50 and 17,041,250,325

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Solution

The third proportional to 12,106,542,326.50 and 17,041,250,325 is: 23,987,378,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106,542,326.50 : 17,041,250,325 = 17,041,250,325 : x
  2. Step 2: Convert to fraction form
    12,106,542,326.50/17,041,250,325 = 17,041,250,325/x
  3. Step 3: Cross multiply
    12,106,542,326.50x = 17,041,250,325 × 17,041,250,325
  4. Step 4: Simplify right side
    12,106,542,326.50x = 290,404,212,639,312,609,280
  5. Step 5: Solve for x
    x = 290,404,212,639,312,609,280/12,106,542,326.50
  6. Step 6: Final answer
    x = 23,987,378,460.95

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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.