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Finding the Third Proportional to 23,635,084 and 51,411,251

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Solution

The third proportional to 23,635,084 and 51,411,251 is: 111,830,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,084 : 51,411,251 = 51,411,251 : x
  2. Step 2: Convert to fraction form
    23,635,084/51,411,251 = 51,411,251/x
  3. Step 3: Cross multiply
    23,635,084x = 51,411,251 × 51,411,251
  4. Step 4: Simplify right side
    23,635,084x = 2,643,116,729,385,001
  5. Step 5: Solve for x
    x = 2,643,116,729,385,001/23,635,084
  6. Step 6: Final answer
    x = 111,830,223.64

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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.