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Finding the Third Proportional to 484,093,362,008 and 723,471,940,912

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Solution

The third proportional to 484,093,362,008 and 723,471,940,912 is: 1,081,220,463,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,093,362,008 : 723,471,940,912 = 723,471,940,912 : x
  2. Step 2: Convert to fraction form
    484,093,362,008/723,471,940,912 = 723,471,940,912/x
  3. Step 3: Cross multiply
    484,093,362,008x = 723,471,940,912 × 723,471,940,912
  4. Step 4: Simplify right side
    484,093,362,008x = 523,411,649,286,976,399,474,688
  5. Step 5: Solve for x
    x = 523,411,649,286,976,399,474,688/484,093,362,008
  6. Step 6: Final answer
    x = 1,081,220,463,581.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.