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Finding the Third Proportional to 322,824,480 and 452,986,668

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Solution

The third proportional to 322,824,480 and 452,986,668 is: 635,629,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824,480 : 452,986,668 = 452,986,668 : x
  2. Step 2: Convert to fraction form
    322,824,480/452,986,668 = 452,986,668/x
  3. Step 3: Cross multiply
    322,824,480x = 452,986,668 × 452,986,668
  4. Step 4: Simplify right side
    322,824,480x = 205,196,921,385,742,208
  5. Step 5: Solve for x
    x = 205,196,921,385,742,208/322,824,480
  6. Step 6: Final answer
    x = 635,629,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.