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Finding the Third Proportional to 5,564,016 and 11,725,824

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Solution

The third proportional to 5,564,016 and 11,725,824 is: 24,711,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,016 : 11,725,824 = 11,725,824 : x
  2. Step 2: Convert to fraction form
    5,564,016/11,725,824 = 11,725,824/x
  3. Step 3: Cross multiply
    5,564,016x = 11,725,824 × 11,725,824
  4. Step 4: Simplify right side
    5,564,016x = 137,494,948,478,976
  5. Step 5: Solve for x
    x = 137,494,948,478,976/5,564,016
  6. Step 6: Final answer
    x = 24,711,458.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.