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Finding the Third Proportional to 159,536,871 and 347,026,063

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Solution

The third proportional to 159,536,871 and 347,026,063 is: 754,854,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,871 : 347,026,063 = 347,026,063 : x
  2. Step 2: Convert to fraction form
    159,536,871/347,026,063 = 347,026,063/x
  3. Step 3: Cross multiply
    159,536,871x = 347,026,063 × 347,026,063
  4. Step 4: Simplify right side
    159,536,871x = 120,427,088,401,279,968
  5. Step 5: Solve for x
    x = 120,427,088,401,279,968/159,536,871
  6. Step 6: Final answer
    x = 754,854,270.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.