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Finding the Third Proportional to 15,782,256 and 34,486,560

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Solution

The third proportional to 15,782,256 and 34,486,560 is: 75,358,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782,256 : 34,486,560 = 34,486,560 : x
  2. Step 2: Convert to fraction form
    15,782,256/34,486,560 = 34,486,560/x
  3. Step 3: Cross multiply
    15,782,256x = 34,486,560 × 34,486,560
  4. Step 4: Simplify right side
    15,782,256x = 1,189,322,820,633,600
  5. Step 5: Solve for x
    x = 1,189,322,820,633,600/15,782,256
  6. Step 6: Final answer
    x = 75,358,226.39

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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.