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Finding the Third Proportional to 3,100,320 and 6,811,776

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Solution

The third proportional to 3,100,320 and 6,811,776 is: 14,966,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,320 : 6,811,776 = 6,811,776 : x
  2. Step 2: Convert to fraction form
    3,100,320/6,811,776 = 6,811,776/x
  3. Step 3: Cross multiply
    3,100,320x = 6,811,776 × 6,811,776
  4. Step 4: Simplify right side
    3,100,320x = 46,400,292,274,176
  5. Step 5: Solve for x
    x = 46,400,292,274,176/3,100,320
  6. Step 6: Final answer
    x = 14,966,291.31

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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.