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Finding the Third Proportional to 3,470,149 and 5,184,811.50

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Solution

The third proportional to 3,470,149 and 5,184,811.50 is: 7,746,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,149 : 5,184,811.50 = 5,184,811.50 : x
  2. Step 2: Convert to fraction form
    3,470,149/5,184,811.50 = 5,184,811.50/x
  3. Step 3: Cross multiply
    3,470,149x = 5,184,811.50 × 5,184,811.50
  4. Step 4: Simplify right side
    3,470,149x = 26,882,270,290,532.25
  5. Step 5: Solve for x
    x = 26,882,270,290,532.25/3,470,149
  6. Step 6: Final answer
    x = 7,746,719.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.