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Finding the Third Proportional to 3,664,738 and 7,980,072

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Solution

The third proportional to 3,664,738 and 7,980,072 is: 17,376,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,738 : 7,980,072 = 7,980,072 : x
  2. Step 2: Convert to fraction form
    3,664,738/7,980,072 = 7,980,072/x
  3. Step 3: Cross multiply
    3,664,738x = 7,980,072 × 7,980,072
  4. Step 4: Simplify right side
    3,664,738x = 63,681,549,125,184
  5. Step 5: Solve for x
    x = 63,681,549,125,184/3,664,738
  6. Step 6: Final answer
    x = 17,376,835.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.