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Finding the Third Proportional to 3,360,593,878,200 and 7,230,883,873,490

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Solution

The third proportional to 3,360,593,878,200 and 7,230,883,873,490 is: 15,558,464,809,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360,593,878,200 : 7,230,883,873,490 = 7,230,883,873,490 : x
  2. Step 2: Convert to fraction form
    3,360,593,878,200/7,230,883,873,490 = 7,230,883,873,490/x
  3. Step 3: Cross multiply
    3,360,593,878,200x = 7,230,883,873,490 × 7,230,883,873,490
  4. Step 4: Simplify right side
    3,360,593,878,200x = 52,285,681,591,897,750,247,571,456
  5. Step 5: Solve for x
    x = 52,285,681,591,897,750,247,571,456/3,360,593,878,200
  6. Step 6: Final answer
    x = 15,558,464,809,173.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.