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Finding the Third Proportional to 11,641,844.25 and 24,490,224

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Solution

The third proportional to 11,641,844.25 and 24,490,224 is: 51,518,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641,844.25 : 24,490,224 = 24,490,224 : x
  2. Step 2: Convert to fraction form
    11,641,844.25/24,490,224 = 24,490,224/x
  3. Step 3: Cross multiply
    11,641,844.25x = 24,490,224 × 24,490,224
  4. Step 4: Simplify right side
    11,641,844.25x = 599,771,071,570,176
  5. Step 5: Solve for x
    x = 599,771,071,570,176/11,641,844.25
  6. Step 6: Final answer
    x = 51,518,561.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.