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Finding the Third Proportional to 741,109,912 and 1,583,997,296

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Solution

The third proportional to 741,109,912 and 1,583,997,296 is: 3,385,526,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,109,912 : 1,583,997,296 = 1,583,997,296 : x
  2. Step 2: Convert to fraction form
    741,109,912/1,583,997,296 = 1,583,997,296/x
  3. Step 3: Cross multiply
    741,109,912x = 1,583,997,296 × 1,583,997,296
  4. Step 4: Simplify right side
    741,109,912x = 2,509,047,433,735,311,360
  5. Step 5: Solve for x
    x = 2,509,047,433,735,311,360/741,109,912
  6. Step 6: Final answer
    x = 3,385,526,752.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.