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Finding the Third Proportional to 6,421,052.25 and 9,401,214.38

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Solution

The third proportional to 6,421,052.25 and 9,401,214.38 is: 13,764,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421,052.25 : 9,401,214.38 = 9,401,214.38 : x
  2. Step 2: Convert to fraction form
    6,421,052.25/9,401,214.38 = 9,401,214.38/x
  3. Step 3: Cross multiply
    6,421,052.25x = 9,401,214.38 × 9,401,214.38
  4. Step 4: Simplify right side
    6,421,052.25x = 88,382,831,724,706.64
  5. Step 5: Solve for x
    x = 88,382,831,724,706.64/6,421,052.25
  6. Step 6: Final answer
    x = 13,764,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.