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Finding the Third Proportional to 54,044,052,856 and 112,561,298,916

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Solution

The third proportional to 54,044,052,856 and 112,561,298,916 is: 234,439,227,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044,052,856 : 112,561,298,916 = 112,561,298,916 : x
  2. Step 2: Convert to fraction form
    54,044,052,856/112,561,298,916 = 112,561,298,916/x
  3. Step 3: Cross multiply
    54,044,052,856x = 112,561,298,916 × 112,561,298,916
  4. Step 4: Simplify right side
    54,044,052,856x = 12,670,046,013,657,102,417,920
  5. Step 5: Solve for x
    x = 12,670,046,013,657,102,417,920/54,044,052,856
  6. Step 6: Final answer
    x = 234,439,227,705.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.