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Finding the Third Proportional to 6,725,081.95 and 10,706,156.65

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Solution

The third proportional to 6,725,081.95 and 10,706,156.65 is: 17,043,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,081.95 : 10,706,156.65 = 10,706,156.65 : x
  2. Step 2: Convert to fraction form
    6,725,081.95/10,706,156.65 = 10,706,156.65/x
  3. Step 3: Cross multiply
    6,725,081.95x = 10,706,156.65 × 10,706,156.65
  4. Step 4: Simplify right side
    6,725,081.95x = 114,621,790,180,893.17
  5. Step 5: Solve for x
    x = 114,621,790,180,893.17/6,725,081.95
  6. Step 6: Final answer
    x = 17,043,924.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.