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Finding the Third Proportional to 6,468,082 and 9,701,310

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Solution

The third proportional to 6,468,082 and 9,701,310 is: 14,550,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,082 : 9,701,310 = 9,701,310 : x
  2. Step 2: Convert to fraction form
    6,468,082/9,701,310 = 9,701,310/x
  3. Step 3: Cross multiply
    6,468,082x = 9,701,310 × 9,701,310
  4. Step 4: Simplify right side
    6,468,082x = 94,115,415,716,100
  5. Step 5: Solve for x
    x = 94,115,415,716,100/6,468,082
  6. Step 6: Final answer
    x = 14,550,745.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.