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Finding the Third Proportional to 27,975,228,768 and 57,074,220,000

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Solution

The third proportional to 27,975,228,768 and 57,074,220,000 is: 116,441,106,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975,228,768 : 57,074,220,000 = 57,074,220,000 : x
  2. Step 2: Convert to fraction form
    27,975,228,768/57,074,220,000 = 57,074,220,000/x
  3. Step 3: Cross multiply
    27,975,228,768x = 57,074,220,000 × 57,074,220,000
  4. Step 4: Simplify right side
    27,975,228,768x = 3,257,466,588,608,399,933,440
  5. Step 5: Solve for x
    x = 3,257,466,588,608,399,933,440/27,975,228,768
  6. Step 6: Final answer
    x = 116,441,106,366.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.