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Finding the Third Proportional to 36,035,272 and 77,739,239

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Solution

The third proportional to 36,035,272 and 77,739,239 is: 167,707,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035,272 : 77,739,239 = 77,739,239 : x
  2. Step 2: Convert to fraction form
    36,035,272/77,739,239 = 77,739,239/x
  3. Step 3: Cross multiply
    36,035,272x = 77,739,239 × 77,739,239
  4. Step 4: Simplify right side
    36,035,272x = 6,043,389,280,299,121
  5. Step 5: Solve for x
    x = 6,043,389,280,299,121/36,035,272
  6. Step 6: Final answer
    x = 167,707,608.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.