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Finding the Third Proportional to 8,900,416,314 and 18,533,299,716

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Solution

The third proportional to 8,900,416,314 and 18,533,299,716 is: 38,591,812,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900,416,314 : 18,533,299,716 = 18,533,299,716 : x
  2. Step 2: Convert to fraction form
    8,900,416,314/18,533,299,716 = 18,533,299,716/x
  3. Step 3: Cross multiply
    8,900,416,314x = 18,533,299,716 × 18,533,299,716
  4. Step 4: Simplify right side
    8,900,416,314x = 343,483,198,363,085,701,120
  5. Step 5: Solve for x
    x = 343,483,198,363,085,701,120/8,900,416,314
  6. Step 6: Final answer
    x = 38,591,812,590.02

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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.