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Finding the Third Proportional to 5,509,873 and 12,866,456.50

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Solution

The third proportional to 5,509,873 and 12,866,456.50 is: 30,045,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,873 : 12,866,456.50 = 12,866,456.50 : x
  2. Step 2: Convert to fraction form
    5,509,873/12,866,456.50 = 12,866,456.50/x
  3. Step 3: Cross multiply
    5,509,873x = 12,866,456.50 × 12,866,456.50
  4. Step 4: Simplify right side
    5,509,873x = 165,545,702,866,392.25
  5. Step 5: Solve for x
    x = 165,545,702,866,392.25/5,509,873
  6. Step 6: Final answer
    x = 30,045,284.69

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.