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Finding the Third Proportional to 301,822,050 and 646,671,138

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Solution

The third proportional to 301,822,050 and 646,671,138 is: 1,385,530,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,822,050 : 646,671,138 = 646,671,138 : x
  2. Step 2: Convert to fraction form
    301,822,050/646,671,138 = 646,671,138/x
  3. Step 3: Cross multiply
    301,822,050x = 646,671,138 × 646,671,138
  4. Step 4: Simplify right side
    301,822,050x = 418,183,560,722,215,040
  5. Step 5: Solve for x
    x = 418,183,560,722,215,040/301,822,050
  6. Step 6: Final answer
    x = 1,385,530,184.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.