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Finding the Third Proportional to 30,322,106 and 49,508,024

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Solution

The third proportional to 30,322,106 and 49,508,024 is: 80,833,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322,106 : 49,508,024 = 49,508,024 : x
  2. Step 2: Convert to fraction form
    30,322,106/49,508,024 = 49,508,024/x
  3. Step 3: Cross multiply
    30,322,106x = 49,508,024 × 49,508,024
  4. Step 4: Simplify right side
    30,322,106x = 2,451,044,440,384,576
  5. Step 5: Solve for x
    x = 2,451,044,440,384,576/30,322,106
  6. Step 6: Final answer
    x = 80,833,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.