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Finding the Third Proportional to 3,148,088.26 and 6,674,497.61

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Solution

The third proportional to 3,148,088.26 and 6,674,497.61 is: 14,151,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,088.26 : 6,674,497.61 = 6,674,497.61 : x
  2. Step 2: Convert to fraction form
    3,148,088.26/6,674,497.61 = 6,674,497.61/x
  3. Step 3: Cross multiply
    3,148,088.26x = 6,674,497.61 × 6,674,497.61
  4. Step 4: Simplify right side
    3,148,088.26x = 44,548,918,363,625.85
  5. Step 5: Solve for x
    x = 44,548,918,363,625.85/3,148,088.26
  6. Step 6: Final answer
    x = 14,151,102.11

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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.