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Finding the Third Proportional to 59,728,521,870 and 127,976,501,731.50

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Solution

The third proportional to 59,728,521,870 and 127,976,501,731.50 is: 274,207,103,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,728,521,870 : 127,976,501,731.50 = 127,976,501,731.50 : x
  2. Step 2: Convert to fraction form
    59,728,521,870/127,976,501,731.50 = 127,976,501,731.50/x
  3. Step 3: Cross multiply
    59,728,521,870x = 127,976,501,731.50 × 127,976,501,731.50
  4. Step 4: Simplify right side
    59,728,521,870x = 16,377,984,995,432,622,718,976
  5. Step 5: Solve for x
    x = 16,377,984,995,432,622,718,976/59,728,521,870
  6. Step 6: Final answer
    x = 274,207,103,786.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.