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Finding the Third Proportional to 9,994,194 and 21,700,800

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Solution

The third proportional to 9,994,194 and 21,700,800 is: 47,119,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994,194 : 21,700,800 = 21,700,800 : x
  2. Step 2: Convert to fraction form
    9,994,194/21,700,800 = 21,700,800/x
  3. Step 3: Cross multiply
    9,994,194x = 21,700,800 × 21,700,800
  4. Step 4: Simplify right side
    9,994,194x = 470,924,720,640,000
  5. Step 5: Solve for x
    x = 470,924,720,640,000/9,994,194
  6. Step 6: Final answer
    x = 47,119,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.