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Finding the Third Proportional to 13,176,256 and 19,686,800

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Solution

The third proportional to 13,176,256 and 19,686,800 is: 29,414,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176,256 : 19,686,800 = 19,686,800 : x
  2. Step 2: Convert to fraction form
    13,176,256/19,686,800 = 19,686,800/x
  3. Step 3: Cross multiply
    13,176,256x = 19,686,800 × 19,686,800
  4. Step 4: Simplify right side
    13,176,256x = 387,570,094,240,000
  5. Step 5: Solve for x
    x = 387,570,094,240,000/13,176,256
  6. Step 6: Final answer
    x = 29,414,280.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.