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Finding the Third Proportional to 2,952,100.69 and 4,820,515.03

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Solution

The third proportional to 2,952,100.69 and 4,820,515.03 is: 7,871,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,100.69 : 4,820,515.03 = 4,820,515.03 : x
  2. Step 2: Convert to fraction form
    2,952,100.69/4,820,515.03 = 4,820,515.03/x
  3. Step 3: Cross multiply
    2,952,100.69x = 4,820,515.03 × 4,820,515.03
  4. Step 4: Simplify right side
    2,952,100.69x = 23,237,365,166,507.19
  5. Step 5: Solve for x
    x = 23,237,365,166,507.19/2,952,100.69
  6. Step 6: Final answer
    x = 7,871,467.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.