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Finding the Third Proportional to 2,194,633,224 and 3,343,400,700

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Solution

The third proportional to 2,194,633,224 and 3,343,400,700 is: 5,093,483,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,633,224 : 3,343,400,700 = 3,343,400,700 : x
  2. Step 2: Convert to fraction form
    2,194,633,224/3,343,400,700 = 3,343,400,700/x
  3. Step 3: Cross multiply
    2,194,633,224x = 3,343,400,700 × 3,343,400,700
  4. Step 4: Simplify right side
    2,194,633,224x = 11,178,328,240,760,489,984
  5. Step 5: Solve for x
    x = 11,178,328,240,760,489,984/2,194,633,224
  6. Step 6: Final answer
    x = 5,093,483,557.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.