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Finding the Third Proportional to 283,263,468 and 609,573,651

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Solution

The third proportional to 283,263,468 and 609,573,651 is: 1,311,782,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,263,468 : 609,573,651 = 609,573,651 : x
  2. Step 2: Convert to fraction form
    283,263,468/609,573,651 = 609,573,651/x
  3. Step 3: Cross multiply
    283,263,468x = 609,573,651 × 609,573,651
  4. Step 4: Simplify right side
    283,263,468x = 371,580,035,993,469,824
  5. Step 5: Solve for x
    x = 371,580,035,993,469,824/283,263,468
  6. Step 6: Final answer
    x = 1,311,782,414.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.