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Finding the Third Proportional to 202,627,413 and 477,851,737.50

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Solution

The third proportional to 202,627,413 and 477,851,737.50 is: 1,126,907,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,413 : 477,851,737.50 = 477,851,737.50 : x
  2. Step 2: Convert to fraction form
    202,627,413/477,851,737.50 = 477,851,737.50/x
  3. Step 3: Cross multiply
    202,627,413x = 477,851,737.50 × 477,851,737.50
  4. Step 4: Simplify right side
    202,627,413x = 228,342,283,031,768,896
  5. Step 5: Solve for x
    x = 228,342,283,031,768,896/202,627,413
  6. Step 6: Final answer
    x = 1,126,907,162.52

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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.