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Finding the Third Proportional to 11,641,830 and 24,490,194

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Solution

The third proportional to 11,641,830 and 24,490,194 is: 51,518,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641,830 : 24,490,194 = 24,490,194 : x
  2. Step 2: Convert to fraction form
    11,641,830/24,490,194 = 24,490,194/x
  3. Step 3: Cross multiply
    11,641,830x = 24,490,194 × 24,490,194
  4. Step 4: Simplify right side
    11,641,830x = 599,769,602,157,636
  5. Step 5: Solve for x
    x = 599,769,602,157,636/11,641,830
  6. Step 6: Final answer
    x = 51,518,498.57

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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.