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Finding the Third Proportional to 23,635,086 and 51,411,255

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Solution

The third proportional to 23,635,086 and 51,411,255 is: 111,830,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,086 : 51,411,255 = 51,411,255 : x
  2. Step 2: Convert to fraction form
    23,635,086/51,411,255 = 51,411,255/x
  3. Step 3: Cross multiply
    23,635,086x = 51,411,255 × 51,411,255
  4. Step 4: Simplify right side
    23,635,086x = 2,643,117,140,675,025
  5. Step 5: Solve for x
    x = 2,643,117,140,675,025/23,635,086
  6. Step 6: Final answer
    x = 111,830,231.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.