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Finding the Third Proportional to 202,627,464 and 477,851,865

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Solution

The third proportional to 202,627,464 and 477,851,865 is: 1,126,907,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,464 : 477,851,865 = 477,851,865 : x
  2. Step 2: Convert to fraction form
    202,627,464/477,851,865 = 477,851,865/x
  3. Step 3: Cross multiply
    202,627,464x = 477,851,865 × 477,851,865
  4. Step 4: Simplify right side
    202,627,464x = 228,342,404,883,978,240
  5. Step 5: Solve for x
    x = 228,342,404,883,978,240/202,627,464
  6. Step 6: Final answer
    x = 1,126,907,480.24

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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.