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Finding the Third Proportional to 353,957,875,724 and 517,498,786,578

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Solution

The third proportional to 353,957,875,724 and 517,498,786,578 is: 756,601,314,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,957,875,724 : 517,498,786,578 = 517,498,786,578 : x
  2. Step 2: Convert to fraction form
    353,957,875,724/517,498,786,578 = 517,498,786,578/x
  3. Step 3: Cross multiply
    353,957,875,724x = 517,498,786,578 × 517,498,786,578
  4. Step 4: Simplify right side
    353,957,875,724x = 267,804,994,109,702,395,658,240
  5. Step 5: Solve for x
    x = 267,804,994,109,702,395,658,240/353,957,875,724
  6. Step 6: Final answer
    x = 756,601,314,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.