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Finding the Third Proportional to 8,900,416,648 and 18,533,300,200

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Solution

The third proportional to 8,900,416,648 and 18,533,300,200 is: 38,591,813,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900,416,648 : 18,533,300,200 = 18,533,300,200 : x
  2. Step 2: Convert to fraction form
    8,900,416,648/18,533,300,200 = 18,533,300,200/x
  3. Step 3: Cross multiply
    8,900,416,648x = 18,533,300,200 × 18,533,300,200
  4. Step 4: Simplify right side
    8,900,416,648x = 343,483,216,303,320,072,192
  5. Step 5: Solve for x
    x = 343,483,216,303,320,072,192/8,900,416,648
  6. Step 6: Final answer
    x = 38,591,813,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.