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Finding the Third Proportional to 4,482,069.27 and 9,800,230.34

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Solution

The third proportional to 4,482,069.27 and 9,800,230.34 is: 21,428,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,069.27 : 9,800,230.34 = 9,800,230.34 : x
  2. Step 2: Convert to fraction form
    4,482,069.27/9,800,230.34 = 9,800,230.34/x
  3. Step 3: Cross multiply
    4,482,069.27x = 9,800,230.34 × 9,800,230.34
  4. Step 4: Simplify right side
    4,482,069.27x = 96,044,514,752,274.64
  5. Step 5: Solve for x
    x = 96,044,514,752,274.64/4,482,069.27
  6. Step 6: Final answer
    x = 21,428,610.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.