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Finding the Third Proportional to 11,661,642 and 25,374,313

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Solution

The third proportional to 11,661,642 and 25,374,313 is: 55,211,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661,642 : 25,374,313 = 25,374,313 : x
  2. Step 2: Convert to fraction form
    11,661,642/25,374,313 = 25,374,313/x
  3. Step 3: Cross multiply
    11,661,642x = 25,374,313 × 25,374,313
  4. Step 4: Simplify right side
    11,661,642x = 643,855,760,221,969
  5. Step 5: Solve for x
    x = 643,855,760,221,969/11,661,642
  6. Step 6: Final answer
    x = 55,211,415.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.