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Finding the Third Proportional to 3,599,469,176 and 5,609,648,242

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Solution

The third proportional to 3,599,469,176 and 5,609,648,242 is: 8,742,442,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599,469,176 : 5,609,648,242 = 5,609,648,242 : x
  2. Step 2: Convert to fraction form
    3,599,469,176/5,609,648,242 = 5,609,648,242/x
  3. Step 3: Cross multiply
    3,599,469,176x = 5,609,648,242 × 5,609,648,242
  4. Step 4: Simplify right side
    3,599,469,176x = 31,468,153,398,973,689,856
  5. Step 5: Solve for x
    x = 31,468,153,398,973,689,856/3,599,469,176
  6. Step 6: Final answer
    x = 8,742,442,804.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.