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Finding the Third Proportional to 1,318,323,266 and 1,994,452,203

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Solution

The third proportional to 1,318,323,266 and 1,994,452,203 is: 3,017,347,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,323,266 : 1,994,452,203 = 1,994,452,203 : x
  2. Step 2: Convert to fraction form
    1,318,323,266/1,994,452,203 = 1,994,452,203/x
  3. Step 3: Cross multiply
    1,318,323,266x = 1,994,452,203 × 1,994,452,203
  4. Step 4: Simplify right side
    1,318,323,266x = 3,977,839,590,051,553,280
  5. Step 5: Solve for x
    x = 3,977,839,590,051,553,280/1,318,323,266
  6. Step 6: Final answer
    x = 3,017,347,635.93

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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.