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Finding the Third Proportional to 2,147,177 and 4,680,178

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Solution

The third proportional to 2,147,177 and 4,680,178 is: 10,201,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,177 : 4,680,178 = 4,680,178 : x
  2. Step 2: Convert to fraction form
    2,147,177/4,680,178 = 4,680,178/x
  3. Step 3: Cross multiply
    2,147,177x = 4,680,178 × 4,680,178
  4. Step 4: Simplify right side
    2,147,177x = 21,904,066,111,684
  5. Step 5: Solve for x
    x = 21,904,066,111,684/2,147,177
  6. Step 6: Final answer
    x = 10,201,332.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.