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Finding the Third Proportional to 4,612,482,066 and 6,888,497,907

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Solution

The third proportional to 4,612,482,066 and 6,888,497,907 is: 10,287,607,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612,482,066 : 6,888,497,907 = 6,888,497,907 : x
  2. Step 2: Convert to fraction form
    4,612,482,066/6,888,497,907 = 6,888,497,907/x
  3. Step 3: Cross multiply
    4,612,482,066x = 6,888,497,907 × 6,888,497,907
  4. Step 4: Simplify right side
    4,612,482,066x = 47,451,403,414,743,384,064
  5. Step 5: Solve for x
    x = 47,451,403,414,743,384,064/4,612,482,066
  6. Step 6: Final answer
    x = 10,287,607,135.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.