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Finding the Third Proportional to 11,611,780 and 24,607,896

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Solution

The third proportional to 11,611,780 and 24,607,896 is: 52,149,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611,780 : 24,607,896 = 24,607,896 : x
  2. Step 2: Convert to fraction form
    11,611,780/24,607,896 = 24,607,896/x
  3. Step 3: Cross multiply
    11,611,780x = 24,607,896 × 24,607,896
  4. Step 4: Simplify right side
    11,611,780x = 605,548,545,546,816
  5. Step 5: Solve for x
    x = 605,548,545,546,816/11,611,780
  6. Step 6: Final answer
    x = 52,149,502.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.