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Finding the Third Proportional to 215,227,425,354 and 462,395,293,461

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Solution

The third proportional to 215,227,425,354 and 462,395,293,461 is: 993,411,536,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,354 : 462,395,293,461 = 462,395,293,461 : x
  2. Step 2: Convert to fraction form
    215,227,425,354/462,395,293,461 = 462,395,293,461/x
  3. Step 3: Cross multiply
    215,227,425,354x = 462,395,293,461 × 462,395,293,461
  4. Step 4: Simplify right side
    215,227,425,354x = 213,809,407,414,884,315,955,200
  5. Step 5: Solve for x
    x = 213,809,407,414,884,315,955,200/215,227,425,354
  6. Step 6: Final answer
    x = 993,411,536,950.82

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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.