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Finding the Third Proportional to 320,351,668,452 and 436,264,292,232

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Solution

The third proportional to 320,351,668,452 and 436,264,292,232 is: 594,117,500,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,351,668,452 : 436,264,292,232 = 436,264,292,232 : x
  2. Step 2: Convert to fraction form
    320,351,668,452/436,264,292,232 = 436,264,292,232/x
  3. Step 3: Cross multiply
    320,351,668,452x = 436,264,292,232 × 436,264,292,232
  4. Step 4: Simplify right side
    320,351,668,452x = 190,326,532,676,687,891,529,728
  5. Step 5: Solve for x
    x = 190,326,532,676,687,891,529,728/320,351,668,452
  6. Step 6: Final answer
    x = 594,117,500,921.35

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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.