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Finding the Third Proportional to 4,160,283,573 and 9,217,580,532

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Solution

The third proportional to 4,160,283,573 and 9,217,580,532 is: 20,422,596,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160,283,573 : 9,217,580,532 = 9,217,580,532 : x
  2. Step 2: Convert to fraction form
    4,160,283,573/9,217,580,532 = 9,217,580,532/x
  3. Step 3: Cross multiply
    4,160,283,573x = 9,217,580,532 × 9,217,580,532
  4. Step 4: Simplify right side
    4,160,283,573x = 84,963,790,863,905,406,976
  5. Step 5: Solve for x
    x = 84,963,790,863,905,406,976/4,160,283,573
  6. Step 6: Final answer
    x = 20,422,596,049.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.