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Finding the Third Proportional to 11,577,206 and 17,018,967

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Solution

The third proportional to 11,577,206 and 17,018,967 is: 25,018,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577,206 : 17,018,967 = 17,018,967 : x
  2. Step 2: Convert to fraction form
    11,577,206/17,018,967 = 17,018,967/x
  3. Step 3: Cross multiply
    11,577,206x = 17,018,967 × 17,018,967
  4. Step 4: Simplify right side
    11,577,206x = 289,645,237,747,089
  5. Step 5: Solve for x
    x = 289,645,237,747,089/11,577,206
  6. Step 6: Final answer
    x = 25,018,578.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.