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Finding the Third Proportional to 274,038,662,828.24 and 570,629,548,414.68

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Solution

The third proportional to 274,038,662,828.24 and 570,629,548,414.68 is: 1,188,219,494,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,038,662,828.24 : 570,629,548,414.68 = 570,629,548,414.68 : x
  2. Step 2: Convert to fraction form
    274,038,662,828.24/570,629,548,414.68 = 570,629,548,414.68/x
  3. Step 3: Cross multiply
    274,038,662,828.24x = 570,629,548,414.68 × 570,629,548,414.68
  4. Step 4: Simplify right side
    274,038,662,828.24x = 325,618,081,523,941,662,261,248
  5. Step 5: Solve for x
    x = 325,618,081,523,941,662,261,248/274,038,662,828.24
  6. Step 6: Final answer
    x = 1,188,219,494,882.12

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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.