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Finding the Third Proportional to 7,570,750 and 16,419,276

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Solution

The third proportional to 7,570,750 and 16,419,276 is: 35,609,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,750 : 16,419,276 = 16,419,276 : x
  2. Step 2: Convert to fraction form
    7,570,750/16,419,276 = 16,419,276/x
  3. Step 3: Cross multiply
    7,570,750x = 16,419,276 × 16,419,276
  4. Step 4: Simplify right side
    7,570,750x = 269,592,624,364,176
  5. Step 5: Solve for x
    x = 269,592,624,364,176/7,570,750
  6. Step 6: Final answer
    x = 35,609,764.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.