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Finding the Third Proportional to 6,005,877 and 12,956,536

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Solution

The third proportional to 6,005,877 and 12,956,536 is: 27,951,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,877 : 12,956,536 = 12,956,536 : x
  2. Step 2: Convert to fraction form
    6,005,877/12,956,536 = 12,956,536/x
  3. Step 3: Cross multiply
    6,005,877x = 12,956,536 × 12,956,536
  4. Step 4: Simplify right side
    6,005,877x = 167,871,825,119,296
  5. Step 5: Solve for x
    x = 167,871,825,119,296/6,005,877
  6. Step 6: Final answer
    x = 27,951,259.26

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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.