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Finding the Third Proportional to 3,173,225 and 6,851,420

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Solution

The third proportional to 3,173,225 and 6,851,420 is: 14,793,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,225 : 6,851,420 = 6,851,420 : x
  2. Step 2: Convert to fraction form
    3,173,225/6,851,420 = 6,851,420/x
  3. Step 3: Cross multiply
    3,173,225x = 6,851,420 × 6,851,420
  4. Step 4: Simplify right side
    3,173,225x = 46,941,956,016,400
  5. Step 5: Solve for x
    x = 46,941,956,016,400/3,173,225
  6. Step 6: Final answer
    x = 14,793,138.22

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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.