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Finding the Third Proportional to 6,171,644,126 and 13,522,364,824

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Solution

The third proportional to 6,171,644,126 and 13,522,364,824 is: 29,628,142,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171,644,126 : 13,522,364,824 = 13,522,364,824 : x
  2. Step 2: Convert to fraction form
    6,171,644,126/13,522,364,824 = 13,522,364,824/x
  3. Step 3: Cross multiply
    6,171,644,126x = 13,522,364,824 × 13,522,364,824
  4. Step 4: Simplify right side
    6,171,644,126x = 182,854,350,433,352,548,352
  5. Step 5: Solve for x
    x = 182,854,350,433,352,548,352/6,171,644,126
  6. Step 6: Final answer
    x = 29,628,142,307.01

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Why These Related Problems?

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