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Finding the Third Proportional to 8,369,323 and 17,743,032

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Solution

The third proportional to 8,369,323 and 17,743,032 is: 37,615,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,323 : 17,743,032 = 17,743,032 : x
  2. Step 2: Convert to fraction form
    8,369,323/17,743,032 = 17,743,032/x
  3. Step 3: Cross multiply
    8,369,323x = 17,743,032 × 17,743,032
  4. Step 4: Simplify right side
    8,369,323x = 314,815,184,553,024
  5. Step 5: Solve for x
    x = 314,815,184,553,024/8,369,323
  6. Step 6: Final answer
    x = 37,615,370.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.