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Finding the Third Proportional to 6,580,857 and 10,170,009

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Solution

The third proportional to 6,580,857 and 10,170,009 is: 15,716,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,857 : 10,170,009 = 10,170,009 : x
  2. Step 2: Convert to fraction form
    6,580,857/10,170,009 = 10,170,009/x
  3. Step 3: Cross multiply
    6,580,857x = 10,170,009 × 10,170,009
  4. Step 4: Simplify right side
    6,580,857x = 103,429,083,060,081
  5. Step 5: Solve for x
    x = 103,429,083,060,081/6,580,857
  6. Step 6: Final answer
    x = 15,716,658.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.