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Finding the Third Proportional to 14,007,969 and 30,673,143

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Solution

The third proportional to 14,007,969 and 30,673,143 is: 67,164,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007,969 : 30,673,143 = 30,673,143 : x
  2. Step 2: Convert to fraction form
    14,007,969/30,673,143 = 30,673,143/x
  3. Step 3: Cross multiply
    14,007,969x = 30,673,143 × 30,673,143
  4. Step 4: Simplify right side
    14,007,969x = 940,841,701,498,449
  5. Step 5: Solve for x
    x = 940,841,701,498,449/14,007,969
  6. Step 6: Final answer
    x = 67,164,747.54

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Why These Related Problems?

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