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Finding the Third Proportional to 6,829,951.50 and 14,544,758.25

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Solution

The third proportional to 6,829,951.50 and 14,544,758.25 is: 30,973,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,951.50 : 14,544,758.25 = 14,544,758.25 : x
  2. Step 2: Convert to fraction form
    6,829,951.50/14,544,758.25 = 14,544,758.25/x
  3. Step 3: Cross multiply
    6,829,951.50x = 14,544,758.25 × 14,544,758.25
  4. Step 4: Simplify right side
    6,829,951.50x = 211,549,992,550,943.06
  5. Step 5: Solve for x
    x = 211,549,992,550,943.06/6,829,951.50
  6. Step 6: Final answer
    x = 30,973,864.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.