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Finding the Third Proportional to 6,511,214 and 9,578,616

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Solution

The third proportional to 6,511,214 and 9,578,616 is: 14,091,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,214 : 9,578,616 = 9,578,616 : x
  2. Step 2: Convert to fraction form
    6,511,214/9,578,616 = 9,578,616/x
  3. Step 3: Cross multiply
    6,511,214x = 9,578,616 × 9,578,616
  4. Step 4: Simplify right side
    6,511,214x = 91,749,884,475,456
  5. Step 5: Solve for x
    x = 91,749,884,475,456/6,511,214
  6. Step 6: Final answer
    x = 14,091,056.52

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Why These Related Problems?

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