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Finding the Third Proportional to 2,757,415.50 and 5,832,783

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Solution

The third proportional to 2,757,415.50 and 5,832,783 is: 12,338,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,415.50 : 5,832,783 = 5,832,783 : x
  2. Step 2: Convert to fraction form
    2,757,415.50/5,832,783 = 5,832,783/x
  3. Step 3: Cross multiply
    2,757,415.50x = 5,832,783 × 5,832,783
  4. Step 4: Simplify right side
    2,757,415.50x = 34,021,357,525,089
  5. Step 5: Solve for x
    x = 34,021,357,525,089/2,757,415.50
  6. Step 6: Final answer
    x = 12,338,132.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.