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Finding the Third Proportional to 293,215,734 and 430,848,216

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Solution

The third proportional to 293,215,734 and 430,848,216 is: 633,083,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,215,734 : 430,848,216 = 430,848,216 : x
  2. Step 2: Convert to fraction form
    293,215,734/430,848,216 = 430,848,216/x
  3. Step 3: Cross multiply
    293,215,734x = 430,848,216 × 430,848,216
  4. Step 4: Simplify right side
    293,215,734x = 185,630,185,230,382,656
  5. Step 5: Solve for x
    x = 185,630,185,230,382,656/293,215,734
  6. Step 6: Final answer
    x = 633,083,984.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.