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Finding the Third Proportional to 6,786,454.13 and 14,792,201.25

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Solution

The third proportional to 6,786,454.13 and 14,792,201.25 is: 32,242,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,454.13 : 14,792,201.25 = 14,792,201.25 : x
  2. Step 2: Convert to fraction form
    6,786,454.13/14,792,201.25 = 14,792,201.25/x
  3. Step 3: Cross multiply
    6,786,454.13x = 14,792,201.25 × 14,792,201.25
  4. Step 4: Simplify right side
    6,786,454.13x = 218,809,217,820,501.56
  5. Step 5: Solve for x
    x = 218,809,217,820,501.56/6,786,454.13
  6. Step 6: Final answer
    x = 32,242,053.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.