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Finding the Third Proportional to 8,241,768 and 16,716,447

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Solution

The third proportional to 8,241,768 and 16,716,447 is: 33,905,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241,768 : 16,716,447 = 16,716,447 : x
  2. Step 2: Convert to fraction form
    8,241,768/16,716,447 = 16,716,447/x
  3. Step 3: Cross multiply
    8,241,768x = 16,716,447 × 16,716,447
  4. Step 4: Simplify right side
    8,241,768x = 279,439,600,303,809
  5. Step 5: Solve for x
    x = 279,439,600,303,809/8,241,768
  6. Step 6: Final answer
    x = 33,905,298.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.