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Finding the Third Proportional to 12,079,664,717,007 and 26,498,014,732,338

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Solution

The third proportional to 12,079,664,717,007 and 26,498,014,732,338 is: 58,126,181,579,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079,664,717,007 : 26,498,014,732,338 = 26,498,014,732,338 : x
  2. Step 2: Convert to fraction form
    12,079,664,717,007/26,498,014,732,338 = 26,498,014,732,338/x
  3. Step 3: Cross multiply
    12,079,664,717,007x = 26,498,014,732,338 × 26,498,014,732,338
  4. Step 4: Simplify right side
    12,079,664,717,007x = 702,144,784,755,201,634,493,005,824
  5. Step 5: Solve for x
    x = 702,144,784,755,201,634,493,005,824/12,079,664,717,007
  6. Step 6: Final answer
    x = 58,126,181,579,083.87

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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.