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Finding the Third Proportional to 2,005,124,228 and 3,065,318,168

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Solution

The third proportional to 2,005,124,228 and 3,065,318,168 is: 4,686,081,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,124,228 : 3,065,318,168 = 3,065,318,168 : x
  2. Step 2: Convert to fraction form
    2,005,124,228/3,065,318,168 = 3,065,318,168/x
  3. Step 3: Cross multiply
    2,005,124,228x = 3,065,318,168 × 3,065,318,168
  4. Step 4: Simplify right side
    2,005,124,228x = 9,396,175,471,070,875,648
  5. Step 5: Solve for x
    x = 9,396,175,471,070,875,648/2,005,124,228
  6. Step 6: Final answer
    x = 4,686,081,460.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.