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Finding the Third Proportional to 3,429,662 and 7,314,820

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Solution

The third proportional to 3,429,662 and 7,314,820 is: 15,601,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429,662 : 7,314,820 = 7,314,820 : x
  2. Step 2: Convert to fraction form
    3,429,662/7,314,820 = 7,314,820/x
  3. Step 3: Cross multiply
    3,429,662x = 7,314,820 × 7,314,820
  4. Step 4: Simplify right side
    3,429,662x = 53,506,591,632,400
  5. Step 5: Solve for x
    x = 53,506,591,632,400/3,429,662
  6. Step 6: Final answer
    x = 15,601,126.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.