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Finding the Third Proportional to 366,768,947 and 548,699,337

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Solution

The third proportional to 366,768,947 and 548,699,337 is: 820,873,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,768,947 : 548,699,337 = 548,699,337 : x
  2. Step 2: Convert to fraction form
    366,768,947/548,699,337 = 548,699,337/x
  3. Step 3: Cross multiply
    366,768,947x = 548,699,337 × 548,699,337
  4. Step 4: Simplify right side
    366,768,947x = 301,070,962,424,239,552
  5. Step 5: Solve for x
    x = 301,070,962,424,239,552/366,768,947
  6. Step 6: Final answer
    x = 820,873,645.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.