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Finding the Third Proportional to 317,768,907 and 684,231,063

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Solution

The third proportional to 317,768,907 and 684,231,063 is: 1,473,310,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,768,907 : 684,231,063 = 684,231,063 : x
  2. Step 2: Convert to fraction form
    317,768,907/684,231,063 = 684,231,063/x
  3. Step 3: Cross multiply
    317,768,907x = 684,231,063 × 684,231,063
  4. Step 4: Simplify right side
    317,768,907x = 468,172,147,574,109,952
  5. Step 5: Solve for x
    x = 468,172,147,574,109,952/317,768,907
  6. Step 6: Final answer
    x = 1,473,310,123.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.