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Finding the Third Proportional to 307,255,011 and 449,217,567

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Solution

The third proportional to 307,255,011 and 449,217,567 is: 656,771,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,255,011 : 449,217,567 = 449,217,567 : x
  2. Step 2: Convert to fraction form
    307,255,011/449,217,567 = 449,217,567/x
  3. Step 3: Cross multiply
    307,255,011x = 449,217,567 × 449,217,567
  4. Step 4: Simplify right side
    307,255,011x = 201,796,422,501,399,488
  5. Step 5: Solve for x
    x = 201,796,422,501,399,488/307,255,011
  6. Step 6: Final answer
    x = 656,771,786.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.