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Finding the Third Proportional to 3,257,456.77 and 7,019,802.98

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Solution

The third proportional to 3,257,456.77 and 7,019,802.98 is: 15,127,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,456.77 : 7,019,802.98 = 7,019,802.98 : x
  2. Step 2: Convert to fraction form
    3,257,456.77/7,019,802.98 = 7,019,802.98/x
  3. Step 3: Cross multiply
    3,257,456.77x = 7,019,802.98 × 7,019,802.98
  4. Step 4: Simplify right side
    3,257,456.77x = 49,277,633,939,440.16
  5. Step 5: Solve for x
    x = 49,277,633,939,440.16/3,257,456.77
  6. Step 6: Final answer
    x = 15,127,640.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.