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Finding the Third Proportional to 27,465,943.50 and 38,401,476

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Solution

The third proportional to 27,465,943.50 and 38,401,476 is: 53,690,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465,943.50 : 38,401,476 = 38,401,476 : x
  2. Step 2: Convert to fraction form
    27,465,943.50/38,401,476 = 38,401,476/x
  3. Step 3: Cross multiply
    27,465,943.50x = 38,401,476 × 38,401,476
  4. Step 4: Simplify right side
    27,465,943.50x = 1,474,673,358,978,576
  5. Step 5: Solve for x
    x = 1,474,673,358,978,576/27,465,943.50
  6. Step 6: Final answer
    x = 53,690,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.