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Finding the Third Proportional to 786,097,104 and 1,682,622,160

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Solution

The third proportional to 786,097,104 and 1,682,622,160 is: 3,601,612,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,097,104 : 1,682,622,160 = 1,682,622,160 : x
  2. Step 2: Convert to fraction form
    786,097,104/1,682,622,160 = 1,682,622,160/x
  3. Step 3: Cross multiply
    786,097,104x = 1,682,622,160 × 1,682,622,160
  4. Step 4: Simplify right side
    786,097,104x = 2,831,217,333,323,065,344
  5. Step 5: Solve for x
    x = 2,831,217,333,323,065,344/786,097,104
  6. Step 6: Final answer
    x = 3,601,612,725.60

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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.