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Finding the Third Proportional to 1,847,892,594 and 3,848,643,364

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Solution

The third proportional to 1,847,892,594 and 3,848,643,364 is: 8,015,647,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,892,594 : 3,848,643,364 = 3,848,643,364 : x
  2. Step 2: Convert to fraction form
    1,847,892,594/3,848,643,364 = 3,848,643,364/x
  3. Step 3: Cross multiply
    1,847,892,594x = 3,848,643,364 × 3,848,643,364
  4. Step 4: Simplify right side
    1,847,892,594x = 14,812,055,743,261,237,248
  5. Step 5: Solve for x
    x = 14,812,055,743,261,237,248/1,847,892,594
  6. Step 6: Final answer
    x = 8,015,647,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.