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Finding the Third Proportional to 36,805,954.50 and 77,419,476

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Solution

The third proportional to 36,805,954.50 and 77,419,476 is: 162,847,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805,954.50 : 77,419,476 = 77,419,476 : x
  2. Step 2: Convert to fraction form
    36,805,954.50/77,419,476 = 77,419,476/x
  3. Step 3: Cross multiply
    36,805,954.50x = 77,419,476 × 77,419,476
  4. Step 4: Simplify right side
    36,805,954.50x = 5,993,775,264,114,576
  5. Step 5: Solve for x
    x = 5,993,775,264,114,576/36,805,954.50
  6. Step 6: Final answer
    x = 162,847,977.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.