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Finding the Third Proportional to 5,142,679 and 11,059,313

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Solution

The third proportional to 5,142,679 and 11,059,313 is: 23,783,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142,679 : 11,059,313 = 11,059,313 : x
  2. Step 2: Convert to fraction form
    5,142,679/11,059,313 = 11,059,313/x
  3. Step 3: Cross multiply
    5,142,679x = 11,059,313 × 11,059,313
  4. Step 4: Simplify right side
    5,142,679x = 122,308,404,031,969
  5. Step 5: Solve for x
    x = 122,308,404,031,969/5,142,679
  6. Step 6: Final answer
    x = 23,783,013.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.