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Finding the Third Proportional to 1,847,892,592 and 3,848,643,360

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Solution

The third proportional to 1,847,892,592 and 3,848,643,360 is: 8,015,647,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,892,592 : 3,848,643,360 = 3,848,643,360 : x
  2. Step 2: Convert to fraction form
    1,847,892,592/3,848,643,360 = 3,848,643,360/x
  3. Step 3: Cross multiply
    1,847,892,592x = 3,848,643,360 × 3,848,643,360
  4. Step 4: Simplify right side
    1,847,892,592x = 14,812,055,712,472,088,576
  5. Step 5: Solve for x
    x = 14,812,055,712,472,088,576/1,847,892,592
  6. Step 6: Final answer
    x = 8,015,647,541.74

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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.