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Finding the Third Proportional to 8,032,176 and 12,236,506

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Solution

The third proportional to 8,032,176 and 12,236,506 is: 18,641,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,176 : 12,236,506 = 12,236,506 : x
  2. Step 2: Convert to fraction form
    8,032,176/12,236,506 = 12,236,506/x
  3. Step 3: Cross multiply
    8,032,176x = 12,236,506 × 12,236,506
  4. Step 4: Simplify right side
    8,032,176x = 149,732,079,088,036
  5. Step 5: Solve for x
    x = 149,732,079,088,036/8,032,176
  6. Step 6: Final answer
    x = 18,641,533.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.