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Finding the Third Proportional to 786,097,017 and 1,682,621,982

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Solution

The third proportional to 786,097,017 and 1,682,621,982 is: 3,601,612,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,097,017 : 1,682,621,982 = 1,682,621,982 : x
  2. Step 2: Convert to fraction form
    786,097,017/1,682,621,982 = 1,682,621,982/x
  3. Step 3: Cross multiply
    786,097,017x = 1,682,621,982 × 1,682,621,982
  4. Step 4: Simplify right side
    786,097,017x = 2,831,216,734,309,608,448
  5. Step 5: Solve for x
    x = 2,831,216,734,309,608,448/786,097,017
  6. Step 6: Final answer
    x = 3,601,612,362.19

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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.