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Finding the Third Proportional to 320,351,668,284 and 436,264,291,978

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Solution

The third proportional to 320,351,668,284 and 436,264,291,978 is: 594,117,500,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,351,668,284 : 436,264,291,978 = 436,264,291,978 : x
  2. Step 2: Convert to fraction form
    320,351,668,284/436,264,291,978 = 436,264,291,978/x
  3. Step 3: Cross multiply
    320,351,668,284x = 436,264,291,978 × 436,264,291,978
  4. Step 4: Simplify right side
    320,351,668,284x = 190,326,532,455,065,632,899,072
  5. Step 5: Solve for x
    x = 190,326,532,455,065,632,899,072/320,351,668,284
  6. Step 6: Final answer
    x = 594,117,500,541.11

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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.