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Finding the Third Proportional to 1,745,927,008 and 3,782,453,504

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Solution

The third proportional to 1,745,927,008 and 3,782,453,504 is: 8,194,474,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,927,008 : 3,782,453,504 = 3,782,453,504 : x
  2. Step 2: Convert to fraction form
    1,745,927,008/3,782,453,504 = 3,782,453,504/x
  3. Step 3: Cross multiply
    1,745,927,008x = 3,782,453,504 × 3,782,453,504
  4. Step 4: Simplify right side
    1,745,927,008x = 14,306,954,509,921,878,016
  5. Step 5: Solve for x
    x = 14,306,954,509,921,878,016/1,745,927,008
  6. Step 6: Final answer
    x = 8,194,474,593.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.