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Finding the Third Proportional to 3,001,401 and 6,572,016

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Solution

The third proportional to 3,001,401 and 6,572,016 is: 14,390,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001,401 : 6,572,016 = 6,572,016 : x
  2. Step 2: Convert to fraction form
    3,001,401/6,572,016 = 6,572,016/x
  3. Step 3: Cross multiply
    3,001,401x = 6,572,016 × 6,572,016
  4. Step 4: Simplify right side
    3,001,401x = 43,191,394,304,256
  5. Step 5: Solve for x
    x = 43,191,394,304,256/3,001,401
  6. Step 6: Final answer
    x = 14,390,411.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.