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Finding the Third Proportional to 3,085,348.50 and 6,644,828.25

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Solution

The third proportional to 3,085,348.50 and 6,644,828.25 is: 14,310,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,348.50 : 6,644,828.25 = 6,644,828.25 : x
  2. Step 2: Convert to fraction form
    3,085,348.50/6,644,828.25 = 6,644,828.25/x
  3. Step 3: Cross multiply
    3,085,348.50x = 6,644,828.25 × 6,644,828.25
  4. Step 4: Simplify right side
    3,085,348.50x = 44,153,742,471,998.06
  5. Step 5: Solve for x
    x = 44,153,742,471,998.06/3,085,348.50
  6. Step 6: Final answer
    x = 14,310,779.63

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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.