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Finding the Third Proportional to 272,580,077 and 595,115,609

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Solution

The third proportional to 272,580,077 and 595,115,609 is: 1,299,297,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,580,077 : 595,115,609 = 595,115,609 : x
  2. Step 2: Convert to fraction form
    272,580,077/595,115,609 = 595,115,609/x
  3. Step 3: Cross multiply
    272,580,077x = 595,115,609 × 595,115,609
  4. Step 4: Simplify right side
    272,580,077x = 354,162,588,075,440,896
  5. Step 5: Solve for x
    x = 354,162,588,075,440,896/272,580,077
  6. Step 6: Final answer
    x = 1,299,297,410.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.