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Finding the Third Proportional to 423,569,608 and 917,473,568

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Solution

The third proportional to 423,569,608 and 917,473,568 is: 1,987,294,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,569,608 : 917,473,568 = 917,473,568 : x
  2. Step 2: Convert to fraction form
    423,569,608/917,473,568 = 917,473,568/x
  3. Step 3: Cross multiply
    423,569,608x = 917,473,568 × 917,473,568
  4. Step 4: Simplify right side
    423,569,608x = 841,757,747,978,650,624
  5. Step 5: Solve for x
    x = 841,757,747,978,650,624/423,569,608
  6. Step 6: Final answer
    x = 1,987,294,961.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.