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Finding the Third Proportional to 8,541,314,401,909.50 and 18,714,424,721,796

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Solution

The third proportional to 8,541,314,401,909.50 and 18,714,424,721,796 is: 41,004,191,648,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541,314,401,909.50 : 18,714,424,721,796 = 18,714,424,721,796 : x
  2. Step 2: Convert to fraction form
    8,541,314,401,909.50/18,714,424,721,796 = 18,714,424,721,796/x
  3. Step 3: Cross multiply
    8,541,314,401,909.50x = 18,714,424,721,796 × 18,714,424,721,796
  4. Step 4: Simplify right side
    8,541,314,401,909.50x = 350,229,692,667,769,271,347,052,544
  5. Step 5: Solve for x
    x = 350,229,692,667,769,271,347,052,544/8,541,314,401,909.50
  6. Step 6: Final answer
    x = 41,004,191,648,708.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.