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Finding the Third Proportional to 72,755,517,820 and 159,226,516,930

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Solution

The third proportional to 72,755,517,820 and 159,226,516,930 is: 348,469,565,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,755,517,820 : 159,226,516,930 = 159,226,516,930 : x
  2. Step 2: Convert to fraction form
    72,755,517,820/159,226,516,930 = 159,226,516,930/x
  3. Step 3: Cross multiply
    72,755,517,820x = 159,226,516,930 × 159,226,516,930
  4. Step 4: Simplify right side
    72,755,517,820x = 25,353,083,693,659,576,074,240
  5. Step 5: Solve for x
    x = 25,353,083,693,659,576,074,240/72,755,517,820
  6. Step 6: Final answer
    x = 348,469,565,653.89

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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.