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Finding the Third Proportional to 3,537,742.50 and 7,580,016

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Solution

The third proportional to 3,537,742.50 and 7,580,016 is: 16,241,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,742.50 : 7,580,016 = 7,580,016 : x
  2. Step 2: Convert to fraction form
    3,537,742.50/7,580,016 = 7,580,016/x
  3. Step 3: Cross multiply
    3,537,742.50x = 7,580,016 × 7,580,016
  4. Step 4: Simplify right side
    3,537,742.50x = 57,456,642,560,256
  5. Step 5: Solve for x
    x = 57,456,642,560,256/3,537,742.50
  6. Step 6: Final answer
    x = 16,241,047.10

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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.