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Finding the Third Proportional to 4,532,648.63 and 9,736,179.75

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Solution

The third proportional to 4,532,648.63 and 9,736,179.75 is: 20,913,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532,648.63 : 9,736,179.75 = 9,736,179.75 : x
  2. Step 2: Convert to fraction form
    4,532,648.63/9,736,179.75 = 9,736,179.75/x
  3. Step 3: Cross multiply
    4,532,648.63x = 9,736,179.75 × 9,736,179.75
  4. Step 4: Simplify right side
    4,532,648.63x = 94,793,196,124,310.06
  5. Step 5: Solve for x
    x = 94,793,196,124,310.06/4,532,648.63
  6. Step 6: Final answer
    x = 20,913,422.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.