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Finding the Third Proportional to 5,579,964 and 7,897,823

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Solution

The third proportional to 5,579,964 and 7,897,823 is: 11,178,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579,964 : 7,897,823 = 7,897,823 : x
  2. Step 2: Convert to fraction form
    5,579,964/7,897,823 = 7,897,823/x
  3. Step 3: Cross multiply
    5,579,964x = 7,897,823 × 7,897,823
  4. Step 4: Simplify right side
    5,579,964x = 62,375,608,139,329
  5. Step 5: Solve for x
    x = 62,375,608,139,329/5,579,964
  6. Step 6: Final answer
    x = 11,178,496.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.