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Finding the Third Proportional to 6,147,011 and 9,021,220

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Solution

The third proportional to 6,147,011 and 9,021,220 is: 13,239,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,011 : 9,021,220 = 9,021,220 : x
  2. Step 2: Convert to fraction form
    6,147,011/9,021,220 = 9,021,220/x
  3. Step 3: Cross multiply
    6,147,011x = 9,021,220 × 9,021,220
  4. Step 4: Simplify right side
    6,147,011x = 81,382,410,288,400
  5. Step 5: Solve for x
    x = 81,382,410,288,400/6,147,011
  6. Step 6: Final answer
    x = 13,239,346.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.