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Finding the Third Proportional to 16,150,749 and 24,824,814

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Solution

The third proportional to 16,150,749 and 24,824,814 is: 38,157,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150,749 : 24,824,814 = 24,824,814 : x
  2. Step 2: Convert to fraction form
    16,150,749/24,824,814 = 24,824,814/x
  3. Step 3: Cross multiply
    16,150,749x = 24,824,814 × 24,824,814
  4. Step 4: Simplify right side
    16,150,749x = 616,271,390,134,596
  5. Step 5: Solve for x
    x = 616,271,390,134,596/16,150,749
  6. Step 6: Final answer
    x = 38,157,449.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.