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Finding the Third Proportional to 566,845,890.75 and 1,242,653,791.50

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Solution

The third proportional to 566,845,890.75 and 1,242,653,791.50 is: 2,724,176,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,845,890.75 : 1,242,653,791.50 = 1,242,653,791.50 : x
  2. Step 2: Convert to fraction form
    566,845,890.75/1,242,653,791.50 = 1,242,653,791.50/x
  3. Step 3: Cross multiply
    566,845,890.75x = 1,242,653,791.50 × 1,242,653,791.50
  4. Step 4: Simplify right side
    566,845,890.75x = 1,544,188,445,529,325,568
  5. Step 5: Solve for x
    x = 1,544,188,445,529,325,568/566,845,890.75
  6. Step 6: Final answer
    x = 2,724,176,836.65

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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.