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Finding the Third Proportional to 682,397,709,075 and 1,501,272,573,165

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Solution

The third proportional to 682,397,709,075 and 1,501,272,573,165 is: 3,302,794,410,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,397,709,075 : 1,501,272,573,165 = 1,501,272,573,165 : x
  2. Step 2: Convert to fraction form
    682,397,709,075/1,501,272,573,165 = 1,501,272,573,165/x
  3. Step 3: Cross multiply
    682,397,709,075x = 1,501,272,573,165 × 1,501,272,573,165
  4. Step 4: Simplify right side
    682,397,709,075x = 2,253,819,338,937,460,211,056,640
  5. Step 5: Solve for x
    x = 2,253,819,338,937,460,211,056,640/682,397,709,075
  6. Step 6: Final answer
    x = 3,302,794,410,011.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.