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Finding the Third Proportional to 3,817,712 and 8,233,216

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Solution

The third proportional to 3,817,712 and 8,233,216 is: 17,755,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817,712 : 8,233,216 = 8,233,216 : x
  2. Step 2: Convert to fraction form
    3,817,712/8,233,216 = 8,233,216/x
  3. Step 3: Cross multiply
    3,817,712x = 8,233,216 × 8,233,216
  4. Step 4: Simplify right side
    3,817,712x = 67,785,845,702,656
  5. Step 5: Solve for x
    x = 67,785,845,702,656/3,817,712
  6. Step 6: Final answer
    x = 17,755,620.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.