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Finding the Third Proportional to 320,351,668,278 and 436,264,291,969

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Solution

The third proportional to 320,351,668,278 and 436,264,291,969 is: 594,117,500,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,351,668,278 : 436,264,291,969 = 436,264,291,969 : x
  2. Step 2: Convert to fraction form
    320,351,668,278/436,264,291,969 = 436,264,291,969/x
  3. Step 3: Cross multiply
    320,351,668,278x = 436,264,291,969 × 436,264,291,969
  4. Step 4: Simplify right side
    320,351,668,278x = 190,326,532,447,212,889,178,112
  5. Step 5: Solve for x
    x = 190,326,532,447,212,889,178,112/320,351,668,278
  6. Step 6: Final answer
    x = 594,117,500,527.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.