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Finding the Third Proportional to 5,921,656 and 12,914,212

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Solution

The third proportional to 5,921,656 and 12,914,212 is: 28,163,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,656 : 12,914,212 = 12,914,212 : x
  2. Step 2: Convert to fraction form
    5,921,656/12,914,212 = 12,914,212/x
  3. Step 3: Cross multiply
    5,921,656x = 12,914,212 × 12,914,212
  4. Step 4: Simplify right side
    5,921,656x = 166,776,871,580,944
  5. Step 5: Solve for x
    x = 166,776,871,580,944/5,921,656
  6. Step 6: Final answer
    x = 28,163,890.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.