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Finding the Third Proportional to 67,026,663 and 102,489,462

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Solution

The third proportional to 67,026,663 and 102,489,462 is: 156,715,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,026,663 : 102,489,462 = 102,489,462 : x
  2. Step 2: Convert to fraction form
    67,026,663/102,489,462 = 102,489,462/x
  3. Step 3: Cross multiply
    67,026,663x = 102,489,462 × 102,489,462
  4. Step 4: Simplify right side
    67,026,663x = 10,504,089,821,049,444
  5. Step 5: Solve for x
    x = 10,504,089,821,049,444/67,026,663
  6. Step 6: Final answer
    x = 156,715,094.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.