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Finding the Third Proportional to 11,641,863 and 24,490,260

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Solution

The third proportional to 11,641,863 and 24,490,260 is: 51,518,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641,863 : 24,490,260 = 24,490,260 : x
  2. Step 2: Convert to fraction form
    11,641,863/24,490,260 = 24,490,260/x
  3. Step 3: Cross multiply
    11,641,863x = 24,490,260 × 24,490,260
  4. Step 4: Simplify right side
    11,641,863x = 599,772,834,867,600
  5. Step 5: Solve for x
    x = 599,772,834,867,600/11,641,863
  6. Step 6: Final answer
    x = 51,518,630.21

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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.