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Finding the Third Proportional to 4,826,587.50 and 7,092,137.25

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Solution

The third proportional to 4,826,587.50 and 7,092,137.25 is: 10,421,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826,587.50 : 7,092,137.25 = 7,092,137.25 : x
  2. Step 2: Convert to fraction form
    4,826,587.50/7,092,137.25 = 7,092,137.25/x
  3. Step 3: Cross multiply
    4,826,587.50x = 7,092,137.25 × 7,092,137.25
  4. Step 4: Simplify right side
    4,826,587.50x = 50,298,410,772,837.56
  5. Step 5: Solve for x
    x = 50,298,410,772,837.56/4,826,587.50
  6. Step 6: Final answer
    x = 10,421,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.