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Finding the Third Proportional to 7,958,536.50 and 17,051,716.50

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Solution

The third proportional to 7,958,536.50 and 17,051,716.50 is: 36,534,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958,536.50 : 17,051,716.50 = 17,051,716.50 : x
  2. Step 2: Convert to fraction form
    7,958,536.50/17,051,716.50 = 17,051,716.50/x
  3. Step 3: Cross multiply
    7,958,536.50x = 17,051,716.50 × 17,051,716.50
  4. Step 4: Simplify right side
    7,958,536.50x = 290,761,035,596,372.25
  5. Step 5: Solve for x
    x = 290,761,035,596,372.25/7,958,536.50
  6. Step 6: Final answer
    x = 36,534,485.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.