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Finding the Third Proportional to 24,783,829 and 53,685,049

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Solution

The third proportional to 24,783,829 and 53,685,049 is: 116,288,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783,829 : 53,685,049 = 53,685,049 : x
  2. Step 2: Convert to fraction form
    24,783,829/53,685,049 = 53,685,049/x
  3. Step 3: Cross multiply
    24,783,829x = 53,685,049 × 53,685,049
  4. Step 4: Simplify right side
    24,783,829x = 2,882,084,486,132,401
  5. Step 5: Solve for x
    x = 2,882,084,486,132,401/24,783,829
  6. Step 6: Final answer
    x = 116,288,911.05

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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.