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Finding the Third Proportional to 786,970,480.50 and 1,682,902,971

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Solution

The third proportional to 786,970,480.50 and 1,682,902,971 is: 3,598,816,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,970,480.50 : 1,682,902,971 = 1,682,902,971 : x
  2. Step 2: Convert to fraction form
    786,970,480.50/1,682,902,971 = 1,682,902,971/x
  3. Step 3: Cross multiply
    786,970,480.50x = 1,682,902,971 × 1,682,902,971
  4. Step 4: Simplify right side
    786,970,480.50x = 2,832,162,409,800,626,688
  5. Step 5: Solve for x
    x = 2,832,162,409,800,626,688/786,970,480.50
  6. Step 6: Final answer
    x = 3,598,816,575.69

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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.