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Finding the Third Proportional to 682,407,373.50 and 1,473,552,063

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Solution

The third proportional to 682,407,373.50 and 1,473,552,063 is: 3,181,905,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,373.50 : 1,473,552,063 = 1,473,552,063 : x
  2. Step 2: Convert to fraction form
    682,407,373.50/1,473,552,063 = 1,473,552,063/x
  3. Step 3: Cross multiply
    682,407,373.50x = 1,473,552,063 × 1,473,552,063
  4. Step 4: Simplify right side
    682,407,373.50x = 2,171,355,682,371,556,096
  5. Step 5: Solve for x
    x = 2,171,355,682,371,556,096/682,407,373.50
  6. Step 6: Final answer
    x = 3,181,905,364.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.