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Finding the Third Proportional to 8,032,732 and 17,370,692

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Solution

The third proportional to 8,032,732 and 17,370,692 is: 37,563,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,732 : 17,370,692 = 17,370,692 : x
  2. Step 2: Convert to fraction form
    8,032,732/17,370,692 = 17,370,692/x
  3. Step 3: Cross multiply
    8,032,732x = 17,370,692 × 17,370,692
  4. Step 4: Simplify right side
    8,032,732x = 301,740,940,558,864
  5. Step 5: Solve for x
    x = 301,740,940,558,864/8,032,732
  6. Step 6: Final answer
    x = 37,563,924.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.