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Finding the Third Proportional to 4,492,057.50 and 9,771,171

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Solution

The third proportional to 4,492,057.50 and 9,771,171 is: 21,254,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,057.50 : 9,771,171 = 9,771,171 : x
  2. Step 2: Convert to fraction form
    4,492,057.50/9,771,171 = 9,771,171/x
  3. Step 3: Cross multiply
    4,492,057.50x = 9,771,171 × 9,771,171
  4. Step 4: Simplify right side
    4,492,057.50x = 95,475,782,711,241
  5. Step 5: Solve for x
    x = 95,475,782,711,241/4,492,057.50
  6. Step 6: Final answer
    x = 21,254,354.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.