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Finding the Third Proportional to 2,407,780.50 and 5,014,851

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Solution

The third proportional to 2,407,780.50 and 5,014,851 is: 10,444,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,780.50 : 5,014,851 = 5,014,851 : x
  2. Step 2: Convert to fraction form
    2,407,780.50/5,014,851 = 5,014,851/x
  3. Step 3: Cross multiply
    2,407,780.50x = 5,014,851 × 5,014,851
  4. Step 4: Simplify right side
    2,407,780.50x = 25,148,730,552,201
  5. Step 5: Solve for x
    x = 25,148,730,552,201/2,407,780.50
  6. Step 6: Final answer
    x = 10,444,777.07

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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.