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Finding the Third Proportional to 395,168,696,058 and 533,175,347,340

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Solution

The third proportional to 395,168,696,058 and 533,175,347,340 is: 719,378,720,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,168,696,058 : 533,175,347,340 = 533,175,347,340 : x
  2. Step 2: Convert to fraction form
    395,168,696,058/533,175,347,340 = 533,175,347,340/x
  3. Step 3: Cross multiply
    395,168,696,058x = 533,175,347,340 × 533,175,347,340
  4. Step 4: Simplify right side
    395,168,696,058x = 284,275,951,011,129,647,431,680
  5. Step 5: Solve for x
    x = 284,275,951,011,129,647,431,680/395,168,696,058
  6. Step 6: Final answer
    x = 719,378,720,649.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.