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Finding the Third Proportional to 3,285,219,814,238 and 4,829,418,863,216

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Solution

The third proportional to 3,285,219,814,238 and 4,829,418,863,216 is: 7,099,459,967,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,219,814,238 : 4,829,418,863,216 = 4,829,418,863,216 : x
  2. Step 2: Convert to fraction form
    3,285,219,814,238/4,829,418,863,216 = 4,829,418,863,216/x
  3. Step 3: Cross multiply
    3,285,219,814,238x = 4,829,418,863,216 × 4,829,418,863,216
  4. Step 4: Simplify right side
    3,285,219,814,238x = 23,323,286,556,386,520,285,052,928
  5. Step 5: Solve for x
    x = 23,323,286,556,386,520,285,052,928/3,285,219,814,238
  6. Step 6: Final answer
    x = 7,099,459,967,733.18

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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.