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Finding the Third Proportional to 6,957,824 and 9,614,208

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Solution

The third proportional to 6,957,824 and 9,614,208 is: 13,284,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957,824 : 9,614,208 = 9,614,208 : x
  2. Step 2: Convert to fraction form
    6,957,824/9,614,208 = 9,614,208/x
  3. Step 3: Cross multiply
    6,957,824x = 9,614,208 × 9,614,208
  4. Step 4: Simplify right side
    6,957,824x = 92,432,995,467,264
  5. Step 5: Solve for x
    x = 92,432,995,467,264/6,957,824
  6. Step 6: Final answer
    x = 13,284,756.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.