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Finding the Third Proportional to 3,384,176.25 and 7,307,828.25

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Solution

The third proportional to 3,384,176.25 and 7,307,828.25 is: 15,780,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,176.25 : 7,307,828.25 = 7,307,828.25 : x
  2. Step 2: Convert to fraction form
    3,384,176.25/7,307,828.25 = 7,307,828.25/x
  3. Step 3: Cross multiply
    3,384,176.25x = 7,307,828.25 × 7,307,828.25
  4. Step 4: Simplify right side
    3,384,176.25x = 53,404,353,731,498.06
  5. Step 5: Solve for x
    x = 53,404,353,731,498.06/3,384,176.25
  6. Step 6: Final answer
    x = 15,780,606.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.