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Finding the Third Proportional to 2,637,088 and 5,647,424

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Solution

The third proportional to 2,637,088 and 5,647,424 is: 12,094,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637,088 : 5,647,424 = 5,647,424 : x
  2. Step 2: Convert to fraction form
    2,637,088/5,647,424 = 5,647,424/x
  3. Step 3: Cross multiply
    2,637,088x = 5,647,424 × 5,647,424
  4. Step 4: Simplify right side
    2,637,088x = 31,893,397,835,776
  5. Step 5: Solve for x
    x = 31,893,397,835,776/2,637,088
  6. Step 6: Final answer
    x = 12,094,172.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.