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Finding the Third Proportional to 831,212,127 and 1,807,105,374

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Solution

The third proportional to 831,212,127 and 1,807,105,374 is: 3,928,756,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,212,127 : 1,807,105,374 = 1,807,105,374 : x
  2. Step 2: Convert to fraction form
    831,212,127/1,807,105,374 = 1,807,105,374/x
  3. Step 3: Cross multiply
    831,212,127x = 1,807,105,374 × 1,807,105,374
  4. Step 4: Simplify right side
    831,212,127x = 3,265,629,832,739,679,744
  5. Step 5: Solve for x
    x = 3,265,629,832,739,679,744/831,212,127
  6. Step 6: Final answer
    x = 3,928,756,242.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.