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Finding the Third Proportional to 259,969,050,966 and 566,090,313,765

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Solution

The third proportional to 259,969,050,966 and 566,090,313,765 is: 1,232,678,436,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,969,050,966 : 566,090,313,765 = 566,090,313,765 : x
  2. Step 2: Convert to fraction form
    259,969,050,966/566,090,313,765 = 566,090,313,765/x
  3. Step 3: Cross multiply
    259,969,050,966x = 566,090,313,765 × 566,090,313,765
  4. Step 4: Simplify right side
    259,969,050,966x = 320,458,243,338,556,143,566,848
  5. Step 5: Solve for x
    x = 320,458,243,338,556,143,566,848/259,969,050,966
  6. Step 6: Final answer
    x = 1,232,678,436,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.