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Finding the Third Proportional to 4,722,829.88 and 10,102,212

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Solution

The third proportional to 4,722,829.88 and 10,102,212 is: 21,608,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,829.88 : 10,102,212 = 10,102,212 : x
  2. Step 2: Convert to fraction form
    4,722,829.88/10,102,212 = 10,102,212/x
  3. Step 3: Cross multiply
    4,722,829.88x = 10,102,212 × 10,102,212
  4. Step 4: Simplify right side
    4,722,829.88x = 102,054,687,292,944
  5. Step 5: Solve for x
    x = 102,054,687,292,944/4,722,829.88
  6. Step 6: Final answer
    x = 21,608,800.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.