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Finding the Third Proportional to 222,886,151,220 and 340,811,569,728

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Solution

The third proportional to 222,886,151,220 and 340,811,569,728 is: 521,129,399,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,886,151,220 : 340,811,569,728 = 340,811,569,728 : x
  2. Step 2: Convert to fraction form
    222,886,151,220/340,811,569,728 = 340,811,569,728/x
  3. Step 3: Cross multiply
    222,886,151,220x = 340,811,569,728 × 340,811,569,728
  4. Step 4: Simplify right side
    222,886,151,220x = 116,152,526,060,463,413,264,384
  5. Step 5: Solve for x
    x = 116,152,526,060,463,413,264,384/222,886,151,220
  6. Step 6: Final answer
    x = 521,129,399,133.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.