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Finding the Third Proportional to 5,152,747.50 and 7,850,007

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Solution

The third proportional to 5,152,747.50 and 7,850,007 is: 11,959,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,747.50 : 7,850,007 = 7,850,007 : x
  2. Step 2: Convert to fraction form
    5,152,747.50/7,850,007 = 7,850,007/x
  3. Step 3: Cross multiply
    5,152,747.50x = 7,850,007 × 7,850,007
  4. Step 4: Simplify right side
    5,152,747.50x = 61,622,609,900,049
  5. Step 5: Solve for x
    x = 61,622,609,900,049/5,152,747.50
  6. Step 6: Final answer
    x = 11,959,175.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.