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Finding the Third Proportional to 581,088,843,198 and 1,258,870,672,110

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Solution

The third proportional to 581,088,843,198 and 1,258,870,672,110 is: 2,727,216,995,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,088,843,198 : 1,258,870,672,110 = 1,258,870,672,110 : x
  2. Step 2: Convert to fraction form
    581,088,843,198/1,258,870,672,110 = 1,258,870,672,110/x
  3. Step 3: Cross multiply
    581,088,843,198x = 1,258,870,672,110 × 1,258,870,672,110
  4. Step 4: Simplify right side
    581,088,843,198x = 1,584,755,369,098,683,114,061,824
  5. Step 5: Solve for x
    x = 1,584,755,369,098,683,114,061,824/581,088,843,198
  6. Step 6: Final answer
    x = 2,727,216,995,557.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.