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Finding the Third Proportional to 10,345,992.75 and 24,388,382.25

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Solution

The third proportional to 10,345,992.75 and 24,388,382.25 is: 57,490,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345,992.75 : 24,388,382.25 = 24,388,382.25 : x
  2. Step 2: Convert to fraction form
    10,345,992.75/24,388,382.25 = 24,388,382.25/x
  3. Step 3: Cross multiply
    10,345,992.75x = 24,388,382.25 × 24,388,382.25
  4. Step 4: Simplify right side
    10,345,992.75x = 594,793,188,772,115
  5. Step 5: Solve for x
    x = 594,793,188,772,115/10,345,992.75
  6. Step 6: Final answer
    x = 57,490,199.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.