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Finding the Third Proportional to 23,635,084 and 51,411,266

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Solution

The third proportional to 23,635,084 and 51,411,266 is: 111,830,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,084 : 51,411,266 = 51,411,266 : x
  2. Step 2: Convert to fraction form
    23,635,084/51,411,266 = 51,411,266/x
  3. Step 3: Cross multiply
    23,635,084x = 51,411,266 × 51,411,266
  4. Step 4: Simplify right side
    23,635,084x = 2,643,118,271,722,756
  5. Step 5: Solve for x
    x = 2,643,118,271,722,756/23,635,084
  6. Step 6: Final answer
    x = 111,830,288.89

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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.