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Finding the Third Proportional to 2,224,669,664 and 3,365,636,694

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Solution

The third proportional to 2,224,669,664 and 3,365,636,694 is: 5,091,771,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,669,664 : 3,365,636,694 = 3,365,636,694 : x
  2. Step 2: Convert to fraction form
    2,224,669,664/3,365,636,694 = 3,365,636,694/x
  3. Step 3: Cross multiply
    2,224,669,664x = 3,365,636,694 × 3,365,636,694
  4. Step 4: Simplify right side
    2,224,669,664x = 11,327,510,355,999,250,432
  5. Step 5: Solve for x
    x = 11,327,510,355,999,250,432/2,224,669,664
  6. Step 6: Final answer
    x = 5,091,771,843.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.