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Finding the Third Proportional to 12,032,394 and 19,752,183

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Solution

The third proportional to 12,032,394 and 19,752,183 is: 32,424,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032,394 : 19,752,183 = 19,752,183 : x
  2. Step 2: Convert to fraction form
    12,032,394/19,752,183 = 19,752,183/x
  3. Step 3: Cross multiply
    12,032,394x = 19,752,183 × 19,752,183
  4. Step 4: Simplify right side
    12,032,394x = 390,148,733,265,489
  5. Step 5: Solve for x
    x = 390,148,733,265,489/12,032,394
  6. Step 6: Final answer
    x = 32,424,863.52

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.