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Finding the Third Proportional to 23,681,364 and 51,017,242

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Solution

The third proportional to 23,681,364 and 51,017,242 is: 109,907,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681,364 : 51,017,242 = 51,017,242 : x
  2. Step 2: Convert to fraction form
    23,681,364/51,017,242 = 51,017,242/x
  3. Step 3: Cross multiply
    23,681,364x = 51,017,242 × 51,017,242
  4. Step 4: Simplify right side
    23,681,364x = 2,602,758,981,286,564
  5. Step 5: Solve for x
    x = 2,602,758,981,286,564/23,681,364
  6. Step 6: Final answer
    x = 109,907,477.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.