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Finding the Third Proportional to 23,643,144 and 51,066,000

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Solution

The third proportional to 23,643,144 and 51,066,000 is: 110,295,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643,144 : 51,066,000 = 51,066,000 : x
  2. Step 2: Convert to fraction form
    23,643,144/51,066,000 = 51,066,000/x
  3. Step 3: Cross multiply
    23,643,144x = 51,066,000 × 51,066,000
  4. Step 4: Simplify right side
    23,643,144x = 2,607,736,356,000,000
  5. Step 5: Solve for x
    x = 2,607,736,356,000,000/23,643,144
  6. Step 6: Final answer
    x = 110,295,667.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.