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Finding the Third Proportional to 202,627,492 and 477,851,914

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Solution

The third proportional to 202,627,492 and 477,851,914 is: 1,126,907,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,492 : 477,851,914 = 477,851,914 : x
  2. Step 2: Convert to fraction form
    202,627,492/477,851,914 = 477,851,914/x
  3. Step 3: Cross multiply
    202,627,492x = 477,851,914 × 477,851,914
  4. Step 4: Simplify right side
    202,627,492x = 228,342,451,713,463,392
  5. Step 5: Solve for x
    x = 228,342,451,713,463,392/202,627,492
  6. Step 6: Final answer
    x = 1,126,907,555.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.