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Finding the Third Proportional to 2,569,634 and 5,533,924

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Solution

The third proportional to 2,569,634 and 5,533,924 is: 11,917,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,634 : 5,533,924 = 5,533,924 : x
  2. Step 2: Convert to fraction form
    2,569,634/5,533,924 = 5,533,924/x
  3. Step 3: Cross multiply
    2,569,634x = 5,533,924 × 5,533,924
  4. Step 4: Simplify right side
    2,569,634x = 30,624,314,837,776
  5. Step 5: Solve for x
    x = 30,624,314,837,776/2,569,634
  6. Step 6: Final answer
    x = 11,917,773.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.