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Finding the Third Proportional to 7,643,821.50 and 11,577,006

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Solution

The third proportional to 7,643,821.50 and 11,577,006 is: 17,534,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643,821.50 : 11,577,006 = 11,577,006 : x
  2. Step 2: Convert to fraction form
    7,643,821.50/11,577,006 = 11,577,006/x
  3. Step 3: Cross multiply
    7,643,821.50x = 11,577,006 × 11,577,006
  4. Step 4: Simplify right side
    7,643,821.50x = 134,027,067,924,036
  5. Step 5: Solve for x
    x = 134,027,067,924,036/7,643,821.50
  6. Step 6: Final answer
    x = 17,534,039.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.