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Finding the Third Proportional to 6,039,525 and 9,147,201

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Solution

The third proportional to 6,039,525 and 9,147,201 is: 13,853,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039,525 : 9,147,201 = 9,147,201 : x
  2. Step 2: Convert to fraction form
    6,039,525/9,147,201 = 9,147,201/x
  3. Step 3: Cross multiply
    6,039,525x = 9,147,201 × 9,147,201
  4. Step 4: Simplify right side
    6,039,525x = 83,671,286,134,401
  5. Step 5: Solve for x
    x = 83,671,286,134,401/6,039,525
  6. Step 6: Final answer
    x = 13,853,951.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.