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Finding the Third Proportional to 12,441,906 and 17,791,947

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Solution

The third proportional to 12,441,906 and 17,791,947 is: 25,442,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441,906 : 17,791,947 = 17,791,947 : x
  2. Step 2: Convert to fraction form
    12,441,906/17,791,947 = 17,791,947/x
  3. Step 3: Cross multiply
    12,441,906x = 17,791,947 × 17,791,947
  4. Step 4: Simplify right side
    12,441,906x = 316,553,378,050,809
  5. Step 5: Solve for x
    x = 316,553,378,050,809/12,441,906
  6. Step 6: Final answer
    x = 25,442,514.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.