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Finding the Third Proportional to 3,434,014 and 7,465,902

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Solution

The third proportional to 3,434,014 and 7,465,902 is: 16,231,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,014 : 7,465,902 = 7,465,902 : x
  2. Step 2: Convert to fraction form
    3,434,014/7,465,902 = 7,465,902/x
  3. Step 3: Cross multiply
    3,434,014x = 7,465,902 × 7,465,902
  4. Step 4: Simplify right side
    3,434,014x = 55,739,692,673,604
  5. Step 5: Solve for x
    x = 55,739,692,673,604/3,434,014
  6. Step 6: Final answer
    x = 16,231,643.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.