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Finding the Third Proportional to 3,007,685,446 and 4,597,975,907

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Solution

The third proportional to 3,007,685,446 and 4,597,975,907 is: 7,029,120,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,685,446 : 4,597,975,907 = 4,597,975,907 : x
  2. Step 2: Convert to fraction form
    3,007,685,446/4,597,975,907 = 4,597,975,907/x
  3. Step 3: Cross multiply
    3,007,685,446x = 4,597,975,907 × 4,597,975,907
  4. Step 4: Simplify right side
    3,007,685,446x = 21,141,382,441,352,474,624
  5. Step 5: Solve for x
    x = 21,141,382,441,352,474,624/3,007,685,446
  6. Step 6: Final answer
    x = 7,029,120,172.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.