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Finding the Third Proportional to 7,159,212,876 and 14,522,561,832

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Solution

The third proportional to 7,159,212,876 and 14,522,561,832 is: 29,459,216,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159,212,876 : 14,522,561,832 = 14,522,561,832 : x
  2. Step 2: Convert to fraction form
    7,159,212,876/14,522,561,832 = 14,522,561,832/x
  3. Step 3: Cross multiply
    7,159,212,876x = 14,522,561,832 × 14,522,561,832
  4. Step 4: Simplify right side
    7,159,212,876x = 210,904,802,164,263,190,528
  5. Step 5: Solve for x
    x = 210,904,802,164,263,190,528/7,159,212,876
  6. Step 6: Final answer
    x = 29,459,216,511.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.