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Finding the Third Proportional to 10,314,024 and 21,475,668

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Solution

The third proportional to 10,314,024 and 21,475,668 is: 44,716,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314,024 : 21,475,668 = 21,475,668 : x
  2. Step 2: Convert to fraction form
    10,314,024/21,475,668 = 21,475,668/x
  3. Step 3: Cross multiply
    10,314,024x = 21,475,668 × 21,475,668
  4. Step 4: Simplify right side
    10,314,024x = 461,204,316,046,224
  5. Step 5: Solve for x
    x = 461,204,316,046,224/10,314,024
  6. Step 6: Final answer
    x = 44,716,234.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.