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Finding the Third Proportional to 946,268,991 and 2,070,923,551.50

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Solution

The third proportional to 946,268,991 and 2,070,923,551.50 is: 4,532,246,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,268,991 : 2,070,923,551.50 = 2,070,923,551.50 : x
  2. Step 2: Convert to fraction form
    946,268,991/2,070,923,551.50 = 2,070,923,551.50/x
  3. Step 3: Cross multiply
    946,268,991x = 2,070,923,551.50 × 2,070,923,551.50
  4. Step 4: Simplify right side
    946,268,991x = 4,288,724,356,157,372,928
  5. Step 5: Solve for x
    x = 4,288,724,356,157,372,928/946,268,991
  6. Step 6: Final answer
    x = 4,532,246,535.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.