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Finding the Third Proportional to 6,413,355 and 9,628,476

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Solution

The third proportional to 6,413,355 and 9,628,476 is: 14,455,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,355 : 9,628,476 = 9,628,476 : x
  2. Step 2: Convert to fraction form
    6,413,355/9,628,476 = 9,628,476/x
  3. Step 3: Cross multiply
    6,413,355x = 9,628,476 × 9,628,476
  4. Step 4: Simplify right side
    6,413,355x = 92,707,550,082,576
  5. Step 5: Solve for x
    x = 92,707,550,082,576/6,413,355
  6. Step 6: Final answer
    x = 14,455,390.37

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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.