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Finding the Third Proportional to 3,027,584 and 6,447,560

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Solution

The third proportional to 3,027,584 and 6,447,560 is: 13,730,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027,584 : 6,447,560 = 6,447,560 : x
  2. Step 2: Convert to fraction form
    3,027,584/6,447,560 = 6,447,560/x
  3. Step 3: Cross multiply
    3,027,584x = 6,447,560 × 6,447,560
  4. Step 4: Simplify right side
    3,027,584x = 41,571,029,953,600
  5. Step 5: Solve for x
    x = 41,571,029,953,600/3,027,584
  6. Step 6: Final answer
    x = 13,730,760.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.