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Finding the Third Proportional to 8,736,256 and 13,226,532

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Solution

The third proportional to 8,736,256 and 13,226,532 is: 20,024,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736,256 : 13,226,532 = 13,226,532 : x
  2. Step 2: Convert to fraction form
    8,736,256/13,226,532 = 13,226,532/x
  3. Step 3: Cross multiply
    8,736,256x = 13,226,532 × 13,226,532
  4. Step 4: Simplify right side
    8,736,256x = 174,941,148,747,024
  5. Step 5: Solve for x
    x = 174,941,148,747,024/8,736,256
  6. Step 6: Final answer
    x = 20,024,727.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.