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Finding the Third Proportional to 24,196,977 and 38,333,263.50

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Solution

The third proportional to 24,196,977 and 38,333,263.50 is: 60,728,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196,977 : 38,333,263.50 = 38,333,263.50 : x
  2. Step 2: Convert to fraction form
    24,196,977/38,333,263.50 = 38,333,263.50/x
  3. Step 3: Cross multiply
    24,196,977x = 38,333,263.50 × 38,333,263.50
  4. Step 4: Simplify right side
    24,196,977x = 1,469,439,090,560,432.25
  5. Step 5: Solve for x
    x = 1,469,439,090,560,432.25/24,196,977
  6. Step 6: Final answer
    x = 60,728,209.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.