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Finding the Third Proportional to 215,227,425,348 and 462,395,293,449

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Solution

The third proportional to 215,227,425,348 and 462,395,293,449 is: 993,411,536,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,348 : 462,395,293,449 = 462,395,293,449 : x
  2. Step 2: Convert to fraction form
    215,227,425,348/462,395,293,449 = 462,395,293,449/x
  3. Step 3: Cross multiply
    215,227,425,348x = 462,395,293,449 × 462,395,293,449
  4. Step 4: Simplify right side
    215,227,425,348x = 213,809,407,403,786,825,105,408
  5. Step 5: Solve for x
    x = 213,809,407,403,786,825,105,408/215,227,425,348
  6. Step 6: Final answer
    x = 993,411,536,926.95

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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.