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Finding the Third Proportional to 1,847,892,582 and 3,848,643,342

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Solution

The third proportional to 1,847,892,582 and 3,848,643,342 is: 8,015,647,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,892,582 : 3,848,643,342 = 3,848,643,342 : x
  2. Step 2: Convert to fraction form
    1,847,892,582/3,848,643,342 = 3,848,643,342/x
  3. Step 3: Cross multiply
    1,847,892,582x = 3,848,643,342 × 3,848,643,342
  4. Step 4: Simplify right side
    1,847,892,582x = 14,812,055,573,920,929,792
  5. Step 5: Solve for x
    x = 14,812,055,573,920,929,792/1,847,892,582
  6. Step 6: Final answer
    x = 8,015,647,510.14

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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.