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Finding the Third Proportional to 274,038,662,833 and 570,629,548,422.50

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Solution

The third proportional to 274,038,662,833 and 570,629,548,422.50 is: 1,188,219,494,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,038,662,833 : 570,629,548,422.50 = 570,629,548,422.50 : x
  2. Step 2: Convert to fraction form
    274,038,662,833/570,629,548,422.50 = 570,629,548,422.50/x
  3. Step 3: Cross multiply
    274,038,662,833x = 570,629,548,422.50 × 570,629,548,422.50
  4. Step 4: Simplify right side
    274,038,662,833x = 325,618,081,532,866,268,758,016
  5. Step 5: Solve for x
    x = 325,618,081,532,866,268,758,016/274,038,662,833
  6. Step 6: Final answer
    x = 1,188,219,494,894.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.