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Finding the Third Proportional to 18,152,600,250.62 and 38,855,209,375.88

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Solution

The third proportional to 18,152,600,250.62 and 38,855,209,375.88 is: 83,168,652,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,152,600,250.62 : 38,855,209,375.88 = 38,855,209,375.88 : x
  2. Step 2: Convert to fraction form
    18,152,600,250.62/38,855,209,375.88 = 38,855,209,375.88/x
  3. Step 3: Cross multiply
    18,152,600,250.62x = 38,855,209,375.88 × 38,855,209,375.88
  4. Step 4: Simplify right side
    18,152,600,250.62x = 1,509,727,295,643,628,863,488
  5. Step 5: Solve for x
    x = 1,509,727,295,643,628,863,488/18,152,600,250.62
  6. Step 6: Final answer
    x = 83,168,652,137.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.