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Finding the Third Proportional to 36,070,378 and 75,683,696.50

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Solution

The third proportional to 36,070,378 and 75,683,696.50 is: 158,801,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,070,378 : 75,683,696.50 = 75,683,696.50 : x
  2. Step 2: Convert to fraction form
    36,070,378/75,683,696.50 = 75,683,696.50/x
  3. Step 3: Cross multiply
    36,070,378x = 75,683,696.50 × 75,683,696.50
  4. Step 4: Simplify right side
    36,070,378x = 5,728,021,915,904,112
  5. Step 5: Solve for x
    x = 5,728,021,915,904,112/36,070,378
  6. Step 6: Final answer
    x = 158,801,272.22

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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.