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Finding the Third Proportional to 3,347,011 and 7,288,213

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Solution

The third proportional to 3,347,011 and 7,288,213 is: 15,870,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347,011 : 7,288,213 = 7,288,213 : x
  2. Step 2: Convert to fraction form
    3,347,011/7,288,213 = 7,288,213/x
  3. Step 3: Cross multiply
    3,347,011x = 7,288,213 × 7,288,213
  4. Step 4: Simplify right side
    3,347,011x = 53,118,048,733,369
  5. Step 5: Solve for x
    x = 53,118,048,733,369/3,347,011
  6. Step 6: Final answer
    x = 15,870,294.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.