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Finding the Third Proportional to 202,627,490 and 477,851,909

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Solution

The third proportional to 202,627,490 and 477,851,909 is: 1,126,907,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,490 : 477,851,909 = 477,851,909 : x
  2. Step 2: Convert to fraction form
    202,627,490/477,851,909 = 477,851,909/x
  3. Step 3: Cross multiply
    202,627,490x = 477,851,909 × 477,851,909
  4. Step 4: Simplify right side
    202,627,490x = 228,342,446,934,944,288
  5. Step 5: Solve for x
    x = 228,342,446,934,944,288/202,627,490
  6. Step 6: Final answer
    x = 1,126,907,543.17

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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.