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Finding the Third Proportional to 320,351,668,276 and 436,264,291,966

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Solution

The third proportional to 320,351,668,276 and 436,264,291,966 is: 594,117,500,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,351,668,276 : 436,264,291,966 = 436,264,291,966 : x
  2. Step 2: Convert to fraction form
    320,351,668,276/436,264,291,966 = 436,264,291,966/x
  3. Step 3: Cross multiply
    320,351,668,276x = 436,264,291,966 × 436,264,291,966
  4. Step 4: Simplify right side
    320,351,668,276x = 190,326,532,444,595,307,937,792
  5. Step 5: Solve for x
    x = 190,326,532,444,595,307,937,792/320,351,668,276
  6. Step 6: Final answer
    x = 594,117,500,523.27

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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.