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Finding the Third Proportional to 3,596,600,208,550 and 7,766,436,114,499

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Solution

The third proportional to 3,596,600,208,550 and 7,766,436,114,499 is: 16,770,707,452,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596,600,208,550 : 7,766,436,114,499 = 7,766,436,114,499 : x
  2. Step 2: Convert to fraction form
    3,596,600,208,550/7,766,436,114,499 = 7,766,436,114,499/x
  3. Step 3: Cross multiply
    3,596,600,208,550x = 7,766,436,114,499 × 7,766,436,114,499
  4. Step 4: Simplify right side
    3,596,600,208,550x = 60,317,529,920,594,322,690,932,736
  5. Step 5: Solve for x
    x = 60,317,529,920,594,322,690,932,736/3,596,600,208,550
  6. Step 6: Final answer
    x = 16,770,707,452,333.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.