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Finding the Third Proportional to 2,194,633,228 and 3,343,400,706

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Solution

The third proportional to 2,194,633,228 and 3,343,400,706 is: 5,093,483,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,633,228 : 3,343,400,706 = 3,343,400,706 : x
  2. Step 2: Convert to fraction form
    2,194,633,228/3,343,400,706 = 3,343,400,706/x
  3. Step 3: Cross multiply
    2,194,633,228x = 3,343,400,706 × 3,343,400,706
  4. Step 4: Simplify right side
    2,194,633,228x = 11,178,328,280,881,299,456
  5. Step 5: Solve for x
    x = 11,178,328,280,881,299,456/2,194,633,228
  6. Step 6: Final answer
    x = 5,093,483,566.30

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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.