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Finding the Third Proportional to 283,263,463 and 609,573,640

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Solution

The third proportional to 283,263,463 and 609,573,640 is: 1,311,782,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,263,463 : 609,573,640 = 609,573,640 : x
  2. Step 2: Convert to fraction form
    283,263,463/609,573,640 = 609,573,640/x
  3. Step 3: Cross multiply
    283,263,463x = 609,573,640 × 609,573,640
  4. Step 4: Simplify right side
    283,263,463x = 371,580,022,582,849,600
  5. Step 5: Solve for x
    x = 371,580,022,582,849,600/283,263,463
  6. Step 6: Final answer
    x = 1,311,782,390.31

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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.