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Finding the Third Proportional to 11,641,860 and 24,490,254

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Solution

The third proportional to 11,641,860 and 24,490,254 is: 51,518,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641,860 : 24,490,254 = 24,490,254 : x
  2. Step 2: Convert to fraction form
    11,641,860/24,490,254 = 24,490,254/x
  3. Step 3: Cross multiply
    11,641,860x = 24,490,254 × 24,490,254
  4. Step 4: Simplify right side
    11,641,860x = 599,772,540,984,516
  5. Step 5: Solve for x
    x = 599,772,540,984,516/11,641,860
  6. Step 6: Final answer
    x = 51,518,618.24

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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.