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Finding the Third Proportional to 11,822,970 and 17,819,018

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Solution

The third proportional to 11,822,970 and 17,819,018 is: 26,855,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,970 : 17,819,018 = 17,819,018 : x
  2. Step 2: Convert to fraction form
    11,822,970/17,819,018 = 17,819,018/x
  3. Step 3: Cross multiply
    11,822,970x = 17,819,018 × 17,819,018
  4. Step 4: Simplify right side
    11,822,970x = 317,517,402,484,324
  5. Step 5: Solve for x
    x = 317,517,402,484,324/11,822,970
  6. Step 6: Final answer
    x = 26,855,976.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.