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Finding the Third Proportional to 174,346,546,618 and 270,699,126,955

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Solution

The third proportional to 174,346,546,618 and 270,699,126,955 is: 420,300,939,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,346,546,618 : 270,699,126,955 = 270,699,126,955 : x
  2. Step 2: Convert to fraction form
    174,346,546,618/270,699,126,955 = 270,699,126,955/x
  3. Step 3: Cross multiply
    174,346,546,618x = 270,699,126,955 × 270,699,126,955
  4. Step 4: Simplify right side
    174,346,546,618x = 73,278,017,334,199,208,378,368
  5. Step 5: Solve for x
    x = 73,278,017,334,199,208,378,368/174,346,546,618
  6. Step 6: Final answer
    x = 420,300,939,454.54

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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.