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Finding the Third Proportional to 346,743,165 and 523,054,083

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Solution

The third proportional to 346,743,165 and 523,054,083 is: 789,015,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,743,165 : 523,054,083 = 523,054,083 : x
  2. Step 2: Convert to fraction form
    346,743,165/523,054,083 = 523,054,083/x
  3. Step 3: Cross multiply
    346,743,165x = 523,054,083 × 523,054,083
  4. Step 4: Simplify right side
    346,743,165x = 273,585,573,742,970,880
  5. Step 5: Solve for x
    x = 273,585,573,742,970,880/346,743,165
  6. Step 6: Final answer
    x = 789,015,044.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.