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Finding the Third Proportional to 12,884,414 and 27,786,330

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Solution

The third proportional to 12,884,414 and 27,786,330 is: 59,923,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,414 : 27,786,330 = 27,786,330 : x
  2. Step 2: Convert to fraction form
    12,884,414/27,786,330 = 27,786,330/x
  3. Step 3: Cross multiply
    12,884,414x = 27,786,330 × 27,786,330
  4. Step 4: Simplify right side
    12,884,414x = 772,080,134,868,900
  5. Step 5: Solve for x
    x = 772,080,134,868,900/12,884,414
  6. Step 6: Final answer
    x = 59,923,573.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.