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Finding the Third Proportional to 7,575,750 and 16,275,852

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Solution

The third proportional to 7,575,750 and 16,275,852 is: 34,967,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575,750 : 16,275,852 = 16,275,852 : x
  2. Step 2: Convert to fraction form
    7,575,750/16,275,852 = 16,275,852/x
  3. Step 3: Cross multiply
    7,575,750x = 16,275,852 × 16,275,852
  4. Step 4: Simplify right side
    7,575,750x = 264,903,358,325,904
  5. Step 5: Solve for x
    x = 264,903,358,325,904/7,575,750
  6. Step 6: Final answer
    x = 34,967,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.