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Finding the Third Proportional to 2,571,524,904 and 5,581,429,584

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Solution

The third proportional to 2,571,524,904 and 5,581,429,584 is: 12,114,351,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,524,904 : 5,581,429,584 = 5,581,429,584 : x
  2. Step 2: Convert to fraction form
    2,571,524,904/5,581,429,584 = 5,581,429,584/x
  3. Step 3: Cross multiply
    2,571,524,904x = 5,581,429,584 × 5,581,429,584
  4. Step 4: Simplify right side
    2,571,524,904x = 31,152,356,201,150,414,848
  5. Step 5: Solve for x
    x = 31,152,356,201,150,414,848/2,571,524,904
  6. Step 6: Final answer
    x = 12,114,351,353.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.