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Finding the Third Proportional to 7,322,386.50 and 15,746,751

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Solution

The third proportional to 7,322,386.50 and 15,746,751 is: 33,863,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322,386.50 : 15,746,751 = 15,746,751 : x
  2. Step 2: Convert to fraction form
    7,322,386.50/15,746,751 = 15,746,751/x
  3. Step 3: Cross multiply
    7,322,386.50x = 15,746,751 × 15,746,751
  4. Step 4: Simplify right side
    7,322,386.50x = 247,960,167,056,001
  5. Step 5: Solve for x
    x = 247,960,167,056,001/7,322,386.50
  6. Step 6: Final answer
    x = 33,863,299.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.