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Finding the Third Proportional to 2,095,460,174 and 3,492,223,149

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Solution

The third proportional to 2,095,460,174 and 3,492,223,149 is: 5,820,021,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,460,174 : 3,492,223,149 = 3,492,223,149 : x
  2. Step 2: Convert to fraction form
    2,095,460,174/3,492,223,149 = 3,492,223,149/x
  3. Step 3: Cross multiply
    2,095,460,174x = 3,492,223,149 × 3,492,223,149
  4. Step 4: Simplify right side
    2,095,460,174x = 12,195,622,522,411,476,992
  5. Step 5: Solve for x
    x = 12,195,622,522,411,476,992/2,095,460,174
  6. Step 6: Final answer
    x = 5,820,021,145.59

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.