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Finding the Third Proportional to 6,530,204.25 and 15,249,096

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Solution

The third proportional to 6,530,204.25 and 15,249,096 is: 35,609,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,204.25 : 15,249,096 = 15,249,096 : x
  2. Step 2: Convert to fraction form
    6,530,204.25/15,249,096 = 15,249,096/x
  3. Step 3: Cross multiply
    6,530,204.25x = 15,249,096 × 15,249,096
  4. Step 4: Simplify right side
    6,530,204.25x = 232,534,928,817,216
  5. Step 5: Solve for x
    x = 232,534,928,817,216/6,530,204.25
  6. Step 6: Final answer
    x = 35,609,135.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.