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Finding the Third Proportional to 23,052,672 and 49,680,576

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Solution

The third proportional to 23,052,672 and 49,680,576 is: 107,066,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052,672 : 49,680,576 = 49,680,576 : x
  2. Step 2: Convert to fraction form
    23,052,672/49,680,576 = 49,680,576/x
  3. Step 3: Cross multiply
    23,052,672x = 49,680,576 × 49,680,576
  4. Step 4: Simplify right side
    23,052,672x = 2,468,159,631,691,776
  5. Step 5: Solve for x
    x = 2,468,159,631,691,776/23,052,672
  6. Step 6: Final answer
    x = 107,066,097.66

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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.