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Finding the Third Proportional to 290,812,711,183.50 and 636,408,162,429

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Solution

The third proportional to 290,812,711,183.50 and 636,408,162,429 is: 1,392,701,672,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,812,711,183.50 : 636,408,162,429 = 636,408,162,429 : x
  2. Step 2: Convert to fraction form
    290,812,711,183.50/636,408,162,429 = 636,408,162,429/x
  3. Step 3: Cross multiply
    290,812,711,183.50x = 636,408,162,429 × 636,408,162,429
  4. Step 4: Simplify right side
    290,812,711,183.50x = 405,015,349,206,256,466,264,064
  5. Step 5: Solve for x
    x = 405,015,349,206,256,466,264,064/290,812,711,183.50
  6. Step 6: Final answer
    x = 1,392,701,672,351.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.