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Finding the Third Proportional to 8,945,383,935 and 19,461,549,999

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Solution

The third proportional to 8,945,383,935 and 19,461,549,999 is: 42,340,488,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945,383,935 : 19,461,549,999 = 19,461,549,999 : x
  2. Step 2: Convert to fraction form
    8,945,383,935/19,461,549,999 = 19,461,549,999/x
  3. Step 3: Cross multiply
    8,945,383,935x = 19,461,549,999 × 19,461,549,999
  4. Step 4: Simplify right side
    8,945,383,935x = 378,751,928,363,576,918,016
  5. Step 5: Solve for x
    x = 378,751,928,363,576,918,016/8,945,383,935
  6. Step 6: Final answer
    x = 42,340,488,805.81

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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.