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Finding the Third Proportional to 11,370,624 and 24,656,322

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Solution

The third proportional to 11,370,624 and 24,656,322 is: 53,465,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370,624 : 24,656,322 = 24,656,322 : x
  2. Step 2: Convert to fraction form
    11,370,624/24,656,322 = 24,656,322/x
  3. Step 3: Cross multiply
    11,370,624x = 24,656,322 × 24,656,322
  4. Step 4: Simplify right side
    11,370,624x = 607,934,214,567,684
  5. Step 5: Solve for x
    x = 607,934,214,567,684/11,370,624
  6. Step 6: Final answer
    x = 53,465,334.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.