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Finding the Third Proportional to 8,369,319 and 17,743,023

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Solution

The third proportional to 8,369,319 and 17,743,023 is: 37,615,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,319 : 17,743,023 = 17,743,023 : x
  2. Step 2: Convert to fraction form
    8,369,319/17,743,023 = 17,743,023/x
  3. Step 3: Cross multiply
    8,369,319x = 17,743,023 × 17,743,023
  4. Step 4: Simplify right side
    8,369,319x = 314,814,865,178,529
  5. Step 5: Solve for x
    x = 314,814,865,178,529/8,369,319
  6. Step 6: Final answer
    x = 37,615,350.21

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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.