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Finding the Third Proportional to 3,912,202,006 and 5,852,792,786

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Solution

The third proportional to 3,912,202,006 and 5,852,792,786 is: 8,755,985,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,202,006 : 5,852,792,786 = 5,852,792,786 : x
  2. Step 2: Convert to fraction form
    3,912,202,006/5,852,792,786 = 5,852,792,786/x
  3. Step 3: Cross multiply
    3,912,202,006x = 5,852,792,786 × 5,852,792,786
  4. Step 4: Simplify right side
    3,912,202,006x = 34,255,183,395,853,643,776
  5. Step 5: Solve for x
    x = 34,255,183,395,853,643,776/3,912,202,006
  6. Step 6: Final answer
    x = 8,755,985,335.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.