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Finding the Third Proportional to 4,786,391,122.50 and 7,352,482,805.25

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Solution

The third proportional to 4,786,391,122.50 and 7,352,482,805.25 is: 11,294,313,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,391,122.50 : 7,352,482,805.25 = 7,352,482,805.25 : x
  2. Step 2: Convert to fraction form
    4,786,391,122.50/7,352,482,805.25 = 7,352,482,805.25/x
  3. Step 3: Cross multiply
    4,786,391,122.50x = 7,352,482,805.25 × 7,352,482,805.25
  4. Step 4: Simplify right side
    4,786,391,122.50x = 54,059,003,401,496,911,872
  5. Step 5: Solve for x
    x = 54,059,003,401,496,911,872/4,786,391,122.50
  6. Step 6: Final answer
    x = 11,294,313,819.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.