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Finding the Third Proportional to 10,652,842 and 23,008,232

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Solution

The third proportional to 10,652,842 and 23,008,232 is: 49,693,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652,842 : 23,008,232 = 23,008,232 : x
  2. Step 2: Convert to fraction form
    10,652,842/23,008,232 = 23,008,232/x
  3. Step 3: Cross multiply
    10,652,842x = 23,008,232 × 23,008,232
  4. Step 4: Simplify right side
    10,652,842x = 529,378,739,765,824
  5. Step 5: Solve for x
    x = 529,378,739,765,824/10,652,842
  6. Step 6: Final answer
    x = 49,693,662.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.