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Finding the Third Proportional to 6,027,456 and 13,225,483

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Solution

The third proportional to 6,027,456 and 13,225,483 is: 29,019,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027,456 : 13,225,483 = 13,225,483 : x
  2. Step 2: Convert to fraction form
    6,027,456/13,225,483 = 13,225,483/x
  3. Step 3: Cross multiply
    6,027,456x = 13,225,483 × 13,225,483
  4. Step 4: Simplify right side
    6,027,456x = 174,913,400,583,289
  5. Step 5: Solve for x
    x = 174,913,400,583,289/6,027,456
  6. Step 6: Final answer
    x = 29,019,440.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.