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Finding the Third Proportional to 4,061,049,907,608 and 6,143,805,527,652

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Solution

The third proportional to 4,061,049,907,608 and 6,143,805,527,652 is: 9,294,726,048,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061,049,907,608 : 6,143,805,527,652 = 6,143,805,527,652 : x
  2. Step 2: Convert to fraction form
    4,061,049,907,608/6,143,805,527,652 = 6,143,805,527,652/x
  3. Step 3: Cross multiply
    4,061,049,907,608x = 6,143,805,527,652 × 6,143,805,527,652
  4. Step 4: Simplify right side
    4,061,049,907,608x = 37,746,346,361,607,271,393,263,616
  5. Step 5: Solve for x
    x = 37,746,346,361,607,271,393,263,616/4,061,049,907,608
  6. Step 6: Final answer
    x = 9,294,726,048,772.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.