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Finding the Third Proportional to 12,808,032 and 19,476,112

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Solution

The third proportional to 12,808,032 and 19,476,112 is: 29,615,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,032 : 19,476,112 = 19,476,112 : x
  2. Step 2: Convert to fraction form
    12,808,032/19,476,112 = 19,476,112/x
  3. Step 3: Cross multiply
    12,808,032x = 19,476,112 × 19,476,112
  4. Step 4: Simplify right side
    12,808,032x = 379,318,938,636,544
  5. Step 5: Solve for x
    x = 379,318,938,636,544/12,808,032
  6. Step 6: Final answer
    x = 29,615,708.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.