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Finding the Third Proportional to 6,753,600 and 9,657,000

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Solution

The third proportional to 6,753,600 and 9,657,000 is: 13,808,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753,600 : 9,657,000 = 9,657,000 : x
  2. Step 2: Convert to fraction form
    6,753,600/9,657,000 = 9,657,000/x
  3. Step 3: Cross multiply
    6,753,600x = 9,657,000 × 9,657,000
  4. Step 4: Simplify right side
    6,753,600x = 93,257,649,000,000
  5. Step 5: Solve for x
    x = 93,257,649,000,000/6,753,600
  6. Step 6: Final answer
    x = 13,808,583.42

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.