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Finding the Third Proportional to 2,203,971,564.50 and 4,795,346,851

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Solution

The third proportional to 2,203,971,564.50 and 4,795,346,851 is: 10,433,597,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,971,564.50 : 4,795,346,851 = 4,795,346,851 : x
  2. Step 2: Convert to fraction form
    2,203,971,564.50/4,795,346,851 = 4,795,346,851/x
  3. Step 3: Cross multiply
    2,203,971,564.50x = 4,795,346,851 × 4,795,346,851
  4. Step 4: Simplify right side
    2,203,971,564.50x = 22,995,351,421,395,615,744
  5. Step 5: Solve for x
    x = 22,995,351,421,395,615,744/2,203,971,564.50
  6. Step 6: Final answer
    x = 10,433,597,144.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.