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Finding the Third Proportional to 263,662,009 and 557,217,513

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Solution

The third proportional to 263,662,009 and 557,217,513 is: 1,177,611,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,662,009 : 557,217,513 = 557,217,513 : x
  2. Step 2: Convert to fraction form
    263,662,009/557,217,513 = 557,217,513/x
  3. Step 3: Cross multiply
    263,662,009x = 557,217,513 × 557,217,513
  4. Step 4: Simplify right side
    263,662,009x = 310,491,356,793,905,152
  5. Step 5: Solve for x
    x = 310,491,356,793,905,152/263,662,009
  6. Step 6: Final answer
    x = 1,177,611,283.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.