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Finding the Third Proportional to 24,297,024 and 34,176,780

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Solution

The third proportional to 24,297,024 and 34,176,780 is: 48,073,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297,024 : 34,176,780 = 34,176,780 : x
  2. Step 2: Convert to fraction form
    24,297,024/34,176,780 = 34,176,780/x
  3. Step 3: Cross multiply
    24,297,024x = 34,176,780 × 34,176,780
  4. Step 4: Simplify right side
    24,297,024x = 1,168,052,291,168,400
  5. Step 5: Solve for x
    x = 1,168,052,291,168,400/24,297,024
  6. Step 6: Final answer
    x = 48,073,883.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.