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Finding the Third Proportional to 6,511,223 and 9,578,629

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Solution

The third proportional to 6,511,223 and 9,578,629 is: 14,091,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,223 : 9,578,629 = 9,578,629 : x
  2. Step 2: Convert to fraction form
    6,511,223/9,578,629 = 9,578,629/x
  3. Step 3: Cross multiply
    6,511,223x = 9,578,629 × 9,578,629
  4. Step 4: Simplify right side
    6,511,223x = 91,750,133,519,641
  5. Step 5: Solve for x
    x = 91,750,133,519,641/6,511,223
  6. Step 6: Final answer
    x = 14,091,075.29

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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.