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Finding the Third Proportional to 3,104,658 and 6,786,439.50

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Solution

The third proportional to 3,104,658 and 6,786,439.50 is: 14,834,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,658 : 6,786,439.50 = 6,786,439.50 : x
  2. Step 2: Convert to fraction form
    3,104,658/6,786,439.50 = 6,786,439.50/x
  3. Step 3: Cross multiply
    3,104,658x = 6,786,439.50 × 6,786,439.50
  4. Step 4: Simplify right side
    3,104,658x = 46,055,761,087,160.25
  5. Step 5: Solve for x
    x = 46,055,761,087,160.25/3,104,658
  6. Step 6: Final answer
    x = 14,834,407.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.