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Finding the Third Proportional to 4,492,057 and 9,771,170

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Solution

The third proportional to 4,492,057 and 9,771,170 is: 21,254,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,057 : 9,771,170 = 9,771,170 : x
  2. Step 2: Convert to fraction form
    4,492,057/9,771,170 = 9,771,170/x
  3. Step 3: Cross multiply
    4,492,057x = 9,771,170 × 9,771,170
  4. Step 4: Simplify right side
    4,492,057x = 95,475,763,168,900
  5. Step 5: Solve for x
    x = 95,475,763,168,900/4,492,057
  6. Step 6: Final answer
    x = 21,254,352.55

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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.