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Finding the Third Proportional to 6,580,989 and 14,674,302

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Solution

The third proportional to 6,580,989 and 14,674,302 is: 32,720,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,989 : 14,674,302 = 14,674,302 : x
  2. Step 2: Convert to fraction form
    6,580,989/14,674,302 = 14,674,302/x
  3. Step 3: Cross multiply
    6,580,989x = 14,674,302 × 14,674,302
  4. Step 4: Simplify right side
    6,580,989x = 215,335,139,187,204
  5. Step 5: Solve for x
    x = 215,335,139,187,204/6,580,989
  6. Step 6: Final answer
    x = 32,720,786.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.