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Finding the Third Proportional to 174,346,546,616 and 270,699,126,952

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Solution

The third proportional to 174,346,546,616 and 270,699,126,952 is: 420,300,939,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,346,546,616 : 270,699,126,952 = 270,699,126,952 : x
  2. Step 2: Convert to fraction form
    174,346,546,616/270,699,126,952 = 270,699,126,952/x
  3. Step 3: Cross multiply
    174,346,546,616x = 270,699,126,952 × 270,699,126,952
  4. Step 4: Simplify right side
    174,346,546,616x = 73,278,017,332,575,014,486,016
  5. Step 5: Solve for x
    x = 73,278,017,332,575,014,486,016/174,346,546,616
  6. Step 6: Final answer
    x = 420,300,939,450.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.