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Finding the Third Proportional to 7,666,904 and 11,505,970

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Solution

The third proportional to 7,666,904 and 11,505,970 is: 17,267,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,904 : 11,505,970 = 11,505,970 : x
  2. Step 2: Convert to fraction form
    7,666,904/11,505,970 = 11,505,970/x
  3. Step 3: Cross multiply
    7,666,904x = 11,505,970 × 11,505,970
  4. Step 4: Simplify right side
    7,666,904x = 132,387,345,640,900
  5. Step 5: Solve for x
    x = 132,387,345,640,900/7,666,904
  6. Step 6: Final answer
    x = 17,267,380.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.