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Finding the Third Proportional to 7,694,380 and 12,007,402

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Solution

The third proportional to 7,694,380 and 12,007,402 is: 18,738,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,380 : 12,007,402 = 12,007,402 : x
  2. Step 2: Convert to fraction form
    7,694,380/12,007,402 = 12,007,402/x
  3. Step 3: Cross multiply
    7,694,380x = 12,007,402 × 12,007,402
  4. Step 4: Simplify right side
    7,694,380x = 144,177,702,789,604
  5. Step 5: Solve for x
    x = 144,177,702,789,604/7,694,380
  6. Step 6: Final answer
    x = 18,738,053.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.