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Finding the Third Proportional to 12,712,407,012 and 20,932,307,766

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Solution

The third proportional to 12,712,407,012 and 20,932,307,766 is: 34,467,234,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712,407,012 : 20,932,307,766 = 20,932,307,766 : x
  2. Step 2: Convert to fraction form
    12,712,407,012/20,932,307,766 = 20,932,307,766/x
  3. Step 3: Cross multiply
    12,712,407,012x = 20,932,307,766 × 20,932,307,766
  4. Step 4: Simplify right side
    12,712,407,012x = 438,161,508,410,543,898,624
  5. Step 5: Solve for x
    x = 438,161,508,410,543,898,624/12,712,407,012
  6. Step 6: Final answer
    x = 34,467,234,096.34

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.