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Finding the Third Proportional to 3,089,042.50 and 6,433,746

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Solution

The third proportional to 3,089,042.50 and 6,433,746 is: 13,399,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,042.50 : 6,433,746 = 6,433,746 : x
  2. Step 2: Convert to fraction form
    3,089,042.50/6,433,746 = 6,433,746/x
  3. Step 3: Cross multiply
    3,089,042.50x = 6,433,746 × 6,433,746
  4. Step 4: Simplify right side
    3,089,042.50x = 41,393,087,592,516
  5. Step 5: Solve for x
    x = 41,393,087,592,516/3,089,042.50
  6. Step 6: Final answer
    x = 13,399,973.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.