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Finding the Third Proportional to 367,394,189,578 and 510,832,254,078

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Solution

The third proportional to 367,394,189,578 and 510,832,254,078 is: 710,271,417,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394,189,578 : 510,832,254,078 = 510,832,254,078 : x
  2. Step 2: Convert to fraction form
    367,394,189,578/510,832,254,078 = 510,832,254,078/x
  3. Step 3: Cross multiply
    367,394,189,578x = 510,832,254,078 × 510,832,254,078
  4. Step 4: Simplify right side
    367,394,189,578x = 260,949,591,806,410,334,666,752
  5. Step 5: Solve for x
    x = 260,949,591,806,410,334,666,752/367,394,189,578
  6. Step 6: Final answer
    x = 710,271,417,482.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.