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Finding the Third Proportional to 6,511,168 and 9,578,532

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Solution

The third proportional to 6,511,168 and 9,578,532 is: 14,090,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,168 : 9,578,532 = 9,578,532 : x
  2. Step 2: Convert to fraction form
    6,511,168/9,578,532 = 9,578,532/x
  3. Step 3: Cross multiply
    6,511,168x = 9,578,532 × 9,578,532
  4. Step 4: Simplify right side
    6,511,168x = 91,748,275,275,024
  5. Step 5: Solve for x
    x = 91,748,275,275,024/6,511,168
  6. Step 6: Final answer
    x = 14,090,908.92

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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.