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Finding the Third Proportional to 6,970,293 and 15,008,449.50

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Solution

The third proportional to 6,970,293 and 15,008,449.50 is: 32,316,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,293 : 15,008,449.50 = 15,008,449.50 : x
  2. Step 2: Convert to fraction form
    6,970,293/15,008,449.50 = 15,008,449.50/x
  3. Step 3: Cross multiply
    6,970,293x = 15,008,449.50 × 15,008,449.50
  4. Step 4: Simplify right side
    6,970,293x = 225,253,556,394,050.25
  5. Step 5: Solve for x
    x = 225,253,556,394,050.25/6,970,293
  6. Step 6: Final answer
    x = 32,316,224.93

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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.