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Finding the Third Proportional to 6,502,997 and 15,059,006

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Solution

The third proportional to 6,502,997 and 15,059,006 is: 34,872,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,997 : 15,059,006 = 15,059,006 : x
  2. Step 2: Convert to fraction form
    6,502,997/15,059,006 = 15,059,006/x
  3. Step 3: Cross multiply
    6,502,997x = 15,059,006 × 15,059,006
  4. Step 4: Simplify right side
    6,502,997x = 226,773,661,708,036
  5. Step 5: Solve for x
    x = 226,773,661,708,036/6,502,997
  6. Step 6: Final answer
    x = 34,872,176.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.