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Finding the Third Proportional to 4,725,924 and 10,366,824

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Solution

The third proportional to 4,725,924 and 10,366,824 is: 22,740,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,924 : 10,366,824 = 10,366,824 : x
  2. Step 2: Convert to fraction form
    4,725,924/10,366,824 = 10,366,824/x
  3. Step 3: Cross multiply
    4,725,924x = 10,366,824 × 10,366,824
  4. Step 4: Simplify right side
    4,725,924x = 107,471,039,846,976
  5. Step 5: Solve for x
    x = 107,471,039,846,976/4,725,924
  6. Step 6: Final answer
    x = 22,740,746.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.