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Finding the Third Proportional to 12,771,816.75 and 27,884,629.69

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Solution

The third proportional to 12,771,816.75 and 27,884,629.69 is: 60,880,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771,816.75 : 27,884,629.69 = 27,884,629.69 : x
  2. Step 2: Convert to fraction form
    12,771,816.75/27,884,629.69 = 27,884,629.69/x
  3. Step 3: Cross multiply
    12,771,816.75x = 27,884,629.69 × 27,884,629.69
  4. Step 4: Simplify right side
    12,771,816.75x = 777,552,572,809,006.38
  5. Step 5: Solve for x
    x = 777,552,572,809,006.38/12,771,816.75
  6. Step 6: Final answer
    x = 60,880,342.09

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Why These Related Problems?

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