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Finding the Third Proportional to 7,783,866 and 17,033,895

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Solution

The third proportional to 7,783,866 and 17,033,895 is: 37,276,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783,866 : 17,033,895 = 17,033,895 : x
  2. Step 2: Convert to fraction form
    7,783,866/17,033,895 = 17,033,895/x
  3. Step 3: Cross multiply
    7,783,866x = 17,033,895 × 17,033,895
  4. Step 4: Simplify right side
    7,783,866x = 290,153,578,871,025
  5. Step 5: Solve for x
    x = 290,153,578,871,025/7,783,866
  6. Step 6: Final answer
    x = 37,276,281.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.