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Finding the Third Proportional to 366,768,945 and 548,699,334.19

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Solution

The third proportional to 366,768,945 and 548,699,334.19 is: 820,873,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,768,945 : 548,699,334.19 = 548,699,334.19 : x
  2. Step 2: Convert to fraction form
    366,768,945/548,699,334.19 = 548,699,334.19/x
  3. Step 3: Cross multiply
    366,768,945x = 548,699,334.19 × 548,699,334.19
  4. Step 4: Simplify right side
    366,768,945x = 301,070,959,337,805,824
  5. Step 5: Solve for x
    x = 301,070,959,337,805,824/366,768,945
  6. Step 6: Final answer
    x = 820,873,641.14

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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.