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Finding the Third Proportional to 9,629,919,516 and 13,561,048,743

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Solution

The third proportional to 9,629,919,516 and 13,561,048,743 is: 19,096,944,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,919,516 : 13,561,048,743 = 13,561,048,743 : x
  2. Step 2: Convert to fraction form
    9,629,919,516/13,561,048,743 = 13,561,048,743/x
  3. Step 3: Cross multiply
    9,629,919,516x = 13,561,048,743 × 13,561,048,743
  4. Step 4: Simplify right side
    9,629,919,516x = 183,902,043,010,021,883,904
  5. Step 5: Solve for x
    x = 183,902,043,010,021,883,904/9,629,919,516
  6. Step 6: Final answer
    x = 19,096,944,964.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.