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Finding the Third Proportional to 6,171,644,135 and 13,522,364,842

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Solution

The third proportional to 6,171,644,135 and 13,522,364,842 is: 29,628,142,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171,644,135 : 13,522,364,842 = 13,522,364,842 : x
  2. Step 2: Convert to fraction form
    6,171,644,135/13,522,364,842 = 13,522,364,842/x
  3. Step 3: Cross multiply
    6,171,644,135x = 13,522,364,842 × 13,522,364,842
  4. Step 4: Simplify right side
    6,171,644,135x = 182,854,350,920,157,691,904
  5. Step 5: Solve for x
    x = 182,854,350,920,157,691,904/6,171,644,135
  6. Step 6: Final answer
    x = 29,628,142,342.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.