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Finding the Third Proportional to 7,294,191.75 and 16,884,733.50

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Solution

The third proportional to 7,294,191.75 and 16,884,733.50 is: 39,085,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,191.75 : 16,884,733.50 = 16,884,733.50 : x
  2. Step 2: Convert to fraction form
    7,294,191.75/16,884,733.50 = 16,884,733.50/x
  3. Step 3: Cross multiply
    7,294,191.75x = 16,884,733.50 × 16,884,733.50
  4. Step 4: Simplify right side
    7,294,191.75x = 285,094,225,366,022.25
  5. Step 5: Solve for x
    x = 285,094,225,366,022.25/7,294,191.75
  6. Step 6: Final answer
    x = 39,085,101.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.