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Finding the Third Proportional to 10,252,323 and 14,419,208.25

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Solution

The third proportional to 10,252,323 and 14,419,208.25 is: 20,279,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,323 : 14,419,208.25 = 14,419,208.25 : x
  2. Step 2: Convert to fraction form
    10,252,323/14,419,208.25 = 14,419,208.25/x
  3. Step 3: Cross multiply
    10,252,323x = 14,419,208.25 × 14,419,208.25
  4. Step 4: Simplify right side
    10,252,323x = 207,913,566,556,868.06
  5. Step 5: Solve for x
    x = 207,913,566,556,868.06/10,252,323
  6. Step 6: Final answer
    x = 20,279,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.