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Finding the Third Proportional to 3,186,319.50 and 6,904,323

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Solution

The third proportional to 3,186,319.50 and 6,904,323 is: 14,960,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186,319.50 : 6,904,323 = 6,904,323 : x
  2. Step 2: Convert to fraction form
    3,186,319.50/6,904,323 = 6,904,323/x
  3. Step 3: Cross multiply
    3,186,319.50x = 6,904,323 × 6,904,323
  4. Step 4: Simplify right side
    3,186,319.50x = 47,669,676,088,329
  5. Step 5: Solve for x
    x = 47,669,676,088,329/3,186,319.50
  6. Step 6: Final answer
    x = 14,960,733.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.