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Finding the Third Proportional to 6,824,920.78 and 14,854,924.13

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Solution

The third proportional to 6,824,920.78 and 14,854,924.13 is: 32,332,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,920.78 : 14,854,924.13 = 14,854,924.13 : x
  2. Step 2: Convert to fraction form
    6,824,920.78/14,854,924.13 = 14,854,924.13/x
  3. Step 3: Cross multiply
    6,824,920.78x = 14,854,924.13 × 14,854,924.13
  4. Step 4: Simplify right side
    6,824,920.78x = 220,668,770,759,507
  5. Step 5: Solve for x
    x = 220,668,770,759,507/6,824,920.78
  6. Step 6: Final answer
    x = 32,332,795.92

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