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Finding the Third Proportional to 8,275,234,770 and 12,400,687,899

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Solution

The third proportional to 8,275,234,770 and 12,400,687,899 is: 18,582,803,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275,234,770 : 12,400,687,899 = 12,400,687,899 : x
  2. Step 2: Convert to fraction form
    8,275,234,770/12,400,687,899 = 12,400,687,899/x
  3. Step 3: Cross multiply
    8,275,234,770x = 12,400,687,899 × 12,400,687,899
  4. Step 4: Simplify right side
    8,275,234,770x = 153,777,060,368,405,037,056
  5. Step 5: Solve for x
    x = 153,777,060,368,405,037,056/8,275,234,770
  6. Step 6: Final answer
    x = 18,582,803,345.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.