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Finding the Third Proportional to 215,227,425,350 and 462,395,293,453

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Solution

The third proportional to 215,227,425,350 and 462,395,293,453 is: 993,411,536,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,350 : 462,395,293,453 = 462,395,293,453 : x
  2. Step 2: Convert to fraction form
    215,227,425,350/462,395,293,453 = 462,395,293,453/x
  3. Step 3: Cross multiply
    215,227,425,350x = 462,395,293,453 × 462,395,293,453
  4. Step 4: Simplify right side
    215,227,425,350x = 213,809,407,407,485,999,906,816
  5. Step 5: Solve for x
    x = 213,809,407,407,485,999,906,816/215,227,425,350
  6. Step 6: Final answer
    x = 993,411,536,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.