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Finding the Third Proportional to 5,663,268,724.50 and 7,874,322,486.75

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Solution

The third proportional to 5,663,268,724.50 and 7,874,322,486.75 is: 10,948,616,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,724.50 : 7,874,322,486.75 = 7,874,322,486.75 : x
  2. Step 2: Convert to fraction form
    5,663,268,724.50/7,874,322,486.75 = 7,874,322,486.75/x
  3. Step 3: Cross multiply
    5,663,268,724.50x = 7,874,322,486.75 × 7,874,322,486.75
  4. Step 4: Simplify right side
    5,663,268,724.50x = 62,004,954,625,336,705,024
  5. Step 5: Solve for x
    x = 62,004,954,625,336,705,024/5,663,268,724.50
  6. Step 6: Final answer
    x = 10,948,616,009.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.