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Finding the Third Proportional to 202,627,401 and 477,851,706

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Solution

The third proportional to 202,627,401 and 477,851,706 is: 1,126,907,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,401 : 477,851,706 = 477,851,706 : x
  2. Step 2: Convert to fraction form
    202,627,401/477,851,706 = 477,851,706/x
  3. Step 3: Cross multiply
    202,627,401x = 477,851,706 × 477,851,706
  4. Step 4: Simplify right side
    202,627,401x = 228,342,252,927,110,432
  5. Step 5: Solve for x
    x = 228,342,252,927,110,432/202,627,401
  6. Step 6: Final answer
    x = 1,126,907,080.68

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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.