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Finding the Third Proportional to 1,318,323,264 and 1,994,452,200

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Solution

The third proportional to 1,318,323,264 and 1,994,452,200 is: 3,017,347,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,323,264 : 1,994,452,200 = 1,994,452,200 : x
  2. Step 2: Convert to fraction form
    1,318,323,264/1,994,452,200 = 1,994,452,200/x
  3. Step 3: Cross multiply
    1,318,323,264x = 1,994,452,200 × 1,994,452,200
  4. Step 4: Simplify right side
    1,318,323,264x = 3,977,839,578,084,839,936
  5. Step 5: Solve for x
    x = 3,977,839,578,084,839,936/1,318,323,264
  6. Step 6: Final answer
    x = 3,017,347,631.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.