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Finding the Third Proportional to 8,495,936 and 12,584,642

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Solution

The third proportional to 8,495,936 and 12,584,642 is: 18,641,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495,936 : 12,584,642 = 12,584,642 : x
  2. Step 2: Convert to fraction form
    8,495,936/12,584,642 = 12,584,642/x
  3. Step 3: Cross multiply
    8,495,936x = 12,584,642 × 12,584,642
  4. Step 4: Simplify right side
    8,495,936x = 158,373,214,268,164
  5. Step 5: Solve for x
    x = 158,373,214,268,164/8,495,936
  6. Step 6: Final answer
    x = 18,641,055.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.