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Finding the Third Proportional to 36,024,346 and 53,083,975

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Solution

The third proportional to 36,024,346 and 53,083,975 is: 78,222,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024,346 : 53,083,975 = 53,083,975 : x
  2. Step 2: Convert to fraction form
    36,024,346/53,083,975 = 53,083,975/x
  3. Step 3: Cross multiply
    36,024,346x = 53,083,975 × 53,083,975
  4. Step 4: Simplify right side
    36,024,346x = 2,817,908,401,800,625
  5. Step 5: Solve for x
    x = 2,817,908,401,800,625/36,024,346
  6. Step 6: Final answer
    x = 78,222,333.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.