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Finding the Third Proportional to 36,007,380 and 51,453,706.50

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Solution

The third proportional to 36,007,380 and 51,453,706.50 is: 73,526,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007,380 : 51,453,706.50 = 51,453,706.50 : x
  2. Step 2: Convert to fraction form
    36,007,380/51,453,706.50 = 51,453,706.50/x
  3. Step 3: Cross multiply
    36,007,380x = 51,453,706.50 × 51,453,706.50
  4. Step 4: Simplify right side
    36,007,380x = 2,647,483,912,588,142
  5. Step 5: Solve for x
    x = 2,647,483,912,588,142/36,007,380
  6. Step 6: Final answer
    x = 73,526,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.