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Finding the Third Proportional to 10,555,008 and 23,005,824

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Solution

The third proportional to 10,555,008 and 23,005,824 is: 50,143,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555,008 : 23,005,824 = 23,005,824 : x
  2. Step 2: Convert to fraction form
    10,555,008/23,005,824 = 23,005,824/x
  3. Step 3: Cross multiply
    10,555,008x = 23,005,824 × 23,005,824
  4. Step 4: Simplify right side
    10,555,008x = 529,267,937,918,976
  5. Step 5: Solve for x
    x = 529,267,937,918,976/10,555,008
  6. Step 6: Final answer
    x = 50,143,774.21

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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.