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Finding the Third Proportional to 5,825,669 and 9,045,223

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Solution

The third proportional to 5,825,669 and 9,045,223 is: 14,044,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,669 : 9,045,223 = 9,045,223 : x
  2. Step 2: Convert to fraction form
    5,825,669/9,045,223 = 9,045,223/x
  3. Step 3: Cross multiply
    5,825,669x = 9,045,223 × 9,045,223
  4. Step 4: Simplify right side
    5,825,669x = 81,816,059,119,729
  5. Step 5: Solve for x
    x = 81,816,059,119,729/5,825,669
  6. Step 6: Final answer
    x = 14,044,062.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.