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Finding the Third Proportional to 11,941,306 and 17,893,146

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Solution

The third proportional to 11,941,306 and 17,893,146 is: 26,811,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941,306 : 17,893,146 = 17,893,146 : x
  2. Step 2: Convert to fraction form
    11,941,306/17,893,146 = 17,893,146/x
  3. Step 3: Cross multiply
    11,941,306x = 17,893,146 × 17,893,146
  4. Step 4: Simplify right side
    11,941,306x = 320,164,673,777,316
  5. Step 5: Solve for x
    x = 320,164,673,777,316/11,941,306
  6. Step 6: Final answer
    x = 26,811,529.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.