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Finding the Third Proportional to 7,212,865.50 and 15,230,547

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Solution

The third proportional to 7,212,865.50 and 15,230,547 is: 32,160,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212,865.50 : 15,230,547 = 15,230,547 : x
  2. Step 2: Convert to fraction form
    7,212,865.50/15,230,547 = 15,230,547/x
  3. Step 3: Cross multiply
    7,212,865.50x = 15,230,547 × 15,230,547
  4. Step 4: Simplify right side
    7,212,865.50x = 231,969,561,919,209
  5. Step 5: Solve for x
    x = 231,969,561,919,209/7,212,865.50
  6. Step 6: Final answer
    x = 32,160,527.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.