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Finding the Third Proportional to 174,923,566 and 404,958,785

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Solution

The third proportional to 174,923,566 and 404,958,785 is: 937,504,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,923,566 : 404,958,785 = 404,958,785 : x
  2. Step 2: Convert to fraction form
    174,923,566/404,958,785 = 404,958,785/x
  3. Step 3: Cross multiply
    174,923,566x = 404,958,785 × 404,958,785
  4. Step 4: Simplify right side
    174,923,566x = 163,991,617,548,676,224
  5. Step 5: Solve for x
    x = 163,991,617,548,676,224/174,923,566
  6. Step 6: Final answer
    x = 937,504,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.