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Finding the Third Proportional to 4,896,180 and 10,189,748.25

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Solution

The third proportional to 4,896,180 and 10,189,748.25 is: 21,206,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896,180 : 10,189,748.25 = 10,189,748.25 : x
  2. Step 2: Convert to fraction form
    4,896,180/10,189,748.25 = 10,189,748.25/x
  3. Step 3: Cross multiply
    4,896,180x = 10,189,748.25 × 10,189,748.25
  4. Step 4: Simplify right side
    4,896,180x = 103,830,969,398,378.06
  5. Step 5: Solve for x
    x = 103,830,969,398,378.06/4,896,180
  6. Step 6: Final answer
    x = 21,206,526.19

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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.