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Finding the Third Proportional to 14,007,971 and 30,673,147

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Solution

The third proportional to 14,007,971 and 30,673,147 is: 67,164,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007,971 : 30,673,147 = 30,673,147 : x
  2. Step 2: Convert to fraction form
    14,007,971/30,673,147 = 30,673,147/x
  3. Step 3: Cross multiply
    14,007,971x = 30,673,147 × 30,673,147
  4. Step 4: Simplify right side
    14,007,971x = 940,841,946,883,609
  5. Step 5: Solve for x
    x = 940,841,946,883,609/14,007,971
  6. Step 6: Final answer
    x = 67,164,755.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.