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Finding the Third Proportional to 24,488,280 and 53,385,768

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Solution

The third proportional to 24,488,280 and 53,385,768 is: 116,383,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488,280 : 53,385,768 = 53,385,768 : x
  2. Step 2: Convert to fraction form
    24,488,280/53,385,768 = 53,385,768/x
  3. Step 3: Cross multiply
    24,488,280x = 53,385,768 × 53,385,768
  4. Step 4: Simplify right side
    24,488,280x = 2,850,040,224,949,824
  5. Step 5: Solve for x
    x = 2,850,040,224,949,824/24,488,280
  6. Step 6: Final answer
    x = 116,383,846.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.