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Finding the Third Proportional to 23,007,669 and 49,203,960

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Solution

The third proportional to 23,007,669 and 49,203,960 is: 105,227,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007,669 : 49,203,960 = 49,203,960 : x
  2. Step 2: Convert to fraction form
    23,007,669/49,203,960 = 49,203,960/x
  3. Step 3: Cross multiply
    23,007,669x = 49,203,960 × 49,203,960
  4. Step 4: Simplify right side
    23,007,669x = 2,421,029,679,681,600
  5. Step 5: Solve for x
    x = 2,421,029,679,681,600/23,007,669
  6. Step 6: Final answer
    x = 105,227,073.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.