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Finding the Third Proportional to 7,699,954.50 and 10,765,649.25

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Solution

The third proportional to 7,699,954.50 and 10,765,649.25 is: 15,051,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699,954.50 : 10,765,649.25 = 10,765,649.25 : x
  2. Step 2: Convert to fraction form
    7,699,954.50/10,765,649.25 = 10,765,649.25/x
  3. Step 3: Cross multiply
    7,699,954.50x = 10,765,649.25 × 10,765,649.25
  4. Step 4: Simplify right side
    7,699,954.50x = 115,899,203,774,025.56
  5. Step 5: Solve for x
    x = 115,899,203,774,025.56/7,699,954.50
  6. Step 6: Final answer
    x = 15,051,933.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.