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Finding the Third Proportional to 3,528,407.25 and 7,654,270.50

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Solution

The third proportional to 3,528,407.25 and 7,654,270.50 is: 16,604,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528,407.25 : 7,654,270.50 = 7,654,270.50 : x
  2. Step 2: Convert to fraction form
    3,528,407.25/7,654,270.50 = 7,654,270.50/x
  3. Step 3: Cross multiply
    3,528,407.25x = 7,654,270.50 × 7,654,270.50
  4. Step 4: Simplify right side
    3,528,407.25x = 58,587,856,887,170.25
  5. Step 5: Solve for x
    x = 58,587,856,887,170.25/3,528,407.25
  6. Step 6: Final answer
    x = 16,604,618.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.