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Finding the Third Proportional to 1,681,599,558 and 3,928,975,485

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Solution

The third proportional to 1,681,599,558 and 3,928,975,485 is: 9,179,859,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,599,558 : 3,928,975,485 = 3,928,975,485 : x
  2. Step 2: Convert to fraction form
    1,681,599,558/3,928,975,485 = 3,928,975,485/x
  3. Step 3: Cross multiply
    1,681,599,558x = 3,928,975,485 × 3,928,975,485
  4. Step 4: Simplify right side
    1,681,599,558x = 15,436,848,361,730,985,984
  5. Step 5: Solve for x
    x = 15,436,848,361,730,985,984/1,681,599,558
  6. Step 6: Final answer
    x = 9,179,859,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.