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Finding the Third Proportional to 317,568,438 and 683,794,710

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Solution

The third proportional to 317,568,438 and 683,794,710 is: 1,472,360,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,568,438 : 683,794,710 = 683,794,710 : x
  2. Step 2: Convert to fraction form
    317,568,438/683,794,710 = 683,794,710/x
  3. Step 3: Cross multiply
    317,568,438x = 683,794,710 × 683,794,710
  4. Step 4: Simplify right side
    317,568,438x = 467,575,205,423,984,128
  5. Step 5: Solve for x
    x = 467,575,205,423,984,128/317,568,438
  6. Step 6: Final answer
    x = 1,472,360,441.01

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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.