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Finding the Third Proportional to 23,635,180 and 51,411,422

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Solution

The third proportional to 23,635,180 and 51,411,422 is: 111,830,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,180 : 51,411,422 = 51,411,422 : x
  2. Step 2: Convert to fraction form
    23,635,180/51,411,422 = 51,411,422/x
  3. Step 3: Cross multiply
    23,635,180x = 51,411,422 × 51,411,422
  4. Step 4: Simplify right side
    23,635,180x = 2,643,134,312,062,084
  5. Step 5: Solve for x
    x = 2,643,134,312,062,084/23,635,180
  6. Step 6: Final answer
    x = 111,830,513.33

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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.