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Finding the Third Proportional to 15,731,132 and 33,648,288

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Solution

The third proportional to 15,731,132 and 33,648,288 is: 71,972,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731,132 : 33,648,288 = 33,648,288 : x
  2. Step 2: Convert to fraction form
    15,731,132/33,648,288 = 33,648,288/x
  3. Step 3: Cross multiply
    15,731,132x = 33,648,288 × 33,648,288
  4. Step 4: Simplify right side
    15,731,132x = 1,132,207,285,330,944
  5. Step 5: Solve for x
    x = 1,132,207,285,330,944/15,731,132
  6. Step 6: Final answer
    x = 71,972,397.49

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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.