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Finding the Third Proportional to 10,265,230 and 15,889,232

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Solution

The third proportional to 10,265,230 and 15,889,232 is: 24,594,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265,230 : 15,889,232 = 15,889,232 : x
  2. Step 2: Convert to fraction form
    10,265,230/15,889,232 = 15,889,232/x
  3. Step 3: Cross multiply
    10,265,230x = 15,889,232 × 15,889,232
  4. Step 4: Simplify right side
    10,265,230x = 252,467,693,549,824
  5. Step 5: Solve for x
    x = 252,467,693,549,824/10,265,230
  6. Step 6: Final answer
    x = 24,594,450.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.