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Finding the Third Proportional to 7,930,605,919 and 11,998,074,261

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Solution

The third proportional to 7,930,605,919 and 11,998,074,261 is: 18,151,675,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930,605,919 : 11,998,074,261 = 11,998,074,261 : x
  2. Step 2: Convert to fraction form
    7,930,605,919/11,998,074,261 = 11,998,074,261/x
  3. Step 3: Cross multiply
    7,930,605,919x = 11,998,074,261 × 11,998,074,261
  4. Step 4: Simplify right side
    7,930,605,919x = 143,953,785,972,470,693,888
  5. Step 5: Solve for x
    x = 143,953,785,972,470,693,888/7,930,605,919
  6. Step 6: Final answer
    x = 18,151,675,602.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.