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Finding the Third Proportional to 42,606,174,132 and 92,628,394,212

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Solution

The third proportional to 42,606,174,132 and 92,628,394,212 is: 201,379,719,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,606,174,132 : 92,628,394,212 = 92,628,394,212 : x
  2. Step 2: Convert to fraction form
    42,606,174,132/92,628,394,212 = 92,628,394,212/x
  3. Step 3: Cross multiply
    42,606,174,132x = 92,628,394,212 × 92,628,394,212
  4. Step 4: Simplify right side
    42,606,174,132x = 8,580,019,414,293,674,983,424
  5. Step 5: Solve for x
    x = 8,580,019,414,293,674,983,424/42,606,174,132
  6. Step 6: Final answer
    x = 201,379,719,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.