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Finding the Third Proportional to 322,824,456 and 452,986,641

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Solution

The third proportional to 322,824,456 and 452,986,641 is: 635,629,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824,456 : 452,986,641 = 452,986,641 : x
  2. Step 2: Convert to fraction form
    322,824,456/452,986,641 = 452,986,641/x
  3. Step 3: Cross multiply
    322,824,456x = 452,986,641 × 452,986,641
  4. Step 4: Simplify right side
    322,824,456x = 205,196,896,924,462,880
  5. Step 5: Solve for x
    x = 205,196,896,924,462,880/322,824,456
  6. Step 6: Final answer
    x = 635,629,962.70

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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.