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Finding the Third Proportional to 3,097,474.50 and 6,643,344

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Solution

The third proportional to 3,097,474.50 and 6,643,344 is: 14,248,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,474.50 : 6,643,344 = 6,643,344 : x
  2. Step 2: Convert to fraction form
    3,097,474.50/6,643,344 = 6,643,344/x
  3. Step 3: Cross multiply
    3,097,474.50x = 6,643,344 × 6,643,344
  4. Step 4: Simplify right side
    3,097,474.50x = 44,134,019,502,336
  5. Step 5: Solve for x
    x = 44,134,019,502,336/3,097,474.50
  6. Step 6: Final answer
    x = 14,248,388.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.