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Finding the Third Proportional to 9,649,833.75 and 21,218,760

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Solution

The third proportional to 9,649,833.75 and 21,218,760 is: 46,657,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649,833.75 : 21,218,760 = 21,218,760 : x
  2. Step 2: Convert to fraction form
    9,649,833.75/21,218,760 = 21,218,760/x
  3. Step 3: Cross multiply
    9,649,833.75x = 21,218,760 × 21,218,760
  4. Step 4: Simplify right side
    9,649,833.75x = 450,235,775,937,600
  5. Step 5: Solve for x
    x = 450,235,775,937,600/9,649,833.75
  6. Step 6: Final answer
    x = 46,657,360.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.