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Finding the Third Proportional to 640,770,732 and 992,638,002

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Solution

The third proportional to 640,770,732 and 992,638,002 is: 1,537,726,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,770,732 : 992,638,002 = 992,638,002 : x
  2. Step 2: Convert to fraction form
    640,770,732/992,638,002 = 992,638,002/x
  3. Step 3: Cross multiply
    640,770,732x = 992,638,002 × 992,638,002
  4. Step 4: Simplify right side
    640,770,732x = 985,330,203,014,552,064
  5. Step 5: Solve for x
    x = 985,330,203,014,552,064/640,770,732
  6. Step 6: Final answer
    x = 1,537,726,606.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.