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Finding the Third Proportional to 5,047,173 and 10,946,196

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Solution

The third proportional to 5,047,173 and 10,946,196 is: 23,739,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,173 : 10,946,196 = 10,946,196 : x
  2. Step 2: Convert to fraction form
    5,047,173/10,946,196 = 10,946,196/x
  3. Step 3: Cross multiply
    5,047,173x = 10,946,196 × 10,946,196
  4. Step 4: Simplify right side
    5,047,173x = 119,819,206,870,416
  5. Step 5: Solve for x
    x = 119,819,206,870,416/5,047,173
  6. Step 6: Final answer
    x = 23,739,865.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.