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Finding the Third Proportional to 2,216,097 and 4,763,196

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Solution

The third proportional to 2,216,097 and 4,763,196 is: 10,237,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,097 : 4,763,196 = 4,763,196 : x
  2. Step 2: Convert to fraction form
    2,216,097/4,763,196 = 4,763,196/x
  3. Step 3: Cross multiply
    2,216,097x = 4,763,196 × 4,763,196
  4. Step 4: Simplify right side
    2,216,097x = 22,688,036,134,416
  5. Step 5: Solve for x
    x = 22,688,036,134,416/2,216,097
  6. Step 6: Final answer
    x = 10,237,835.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.