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Finding the Third Proportional to 3,083,854.50 and 6,782,802.75

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Solution

The third proportional to 3,083,854.50 and 6,782,802.75 is: 14,918,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083,854.50 : 6,782,802.75 = 6,782,802.75 : x
  2. Step 2: Convert to fraction form
    3,083,854.50/6,782,802.75 = 6,782,802.75/x
  3. Step 3: Cross multiply
    3,083,854.50x = 6,782,802.75 × 6,782,802.75
  4. Step 4: Simplify right side
    3,083,854.50x = 46,006,413,145,407.56
  5. Step 5: Solve for x
    x = 46,006,413,145,407.56/3,083,854.50
  6. Step 6: Final answer
    x = 14,918,477.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.