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Finding the Third Proportional to 290,812,711,186 and 636,408,162,433

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Solution

The third proportional to 290,812,711,186 and 636,408,162,433 is: 1,392,701,672,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,812,711,186 : 636,408,162,433 = 636,408,162,433 : x
  2. Step 2: Convert to fraction form
    290,812,711,186/636,408,162,433 = 636,408,162,433/x
  3. Step 3: Cross multiply
    290,812,711,186x = 636,408,162,433 × 636,408,162,433
  4. Step 4: Simplify right side
    290,812,711,186x = 405,015,349,211,347,680,231,424
  5. Step 5: Solve for x
    x = 405,015,349,211,347,680,231,424/290,812,711,186
  6. Step 6: Final answer
    x = 1,392,701,672,356.77

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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.