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Finding the Third Proportional to 307,389,567 and 663,858,762

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Solution

The third proportional to 307,389,567 and 663,858,762 is: 1,433,713,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,389,567 : 663,858,762 = 663,858,762 : x
  2. Step 2: Convert to fraction form
    307,389,567/663,858,762 = 663,858,762/x
  3. Step 3: Cross multiply
    307,389,567x = 663,858,762 × 663,858,762
  4. Step 4: Simplify right side
    307,389,567x = 440,708,455,884,172,672
  5. Step 5: Solve for x
    x = 440,708,455,884,172,672/307,389,567
  6. Step 6: Final answer
    x = 1,433,713,122.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.