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Finding the Third Proportional to 353,007,702 and 769,576,647

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Solution

The third proportional to 353,007,702 and 769,576,647 is: 1,677,720,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,702 : 769,576,647 = 769,576,647 : x
  2. Step 2: Convert to fraction form
    353,007,702/769,576,647 = 769,576,647/x
  3. Step 3: Cross multiply
    353,007,702x = 769,576,647 × 769,576,647
  4. Step 4: Simplify right side
    353,007,702x = 592,248,215,607,762,560
  5. Step 5: Solve for x
    x = 592,248,215,607,762,560/353,007,702
  6. Step 6: Final answer
    x = 1,677,720,379.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.