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Finding the Third Proportional to 20,163,301,468 and 29,129,980,468

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Solution

The third proportional to 20,163,301,468 and 29,129,980,468 is: 42,084,167,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163,301,468 : 29,129,980,468 = 29,129,980,468 : x
  2. Step 2: Convert to fraction form
    20,163,301,468/29,129,980,468 = 29,129,980,468/x
  3. Step 3: Cross multiply
    20,163,301,468x = 29,129,980,468 × 29,129,980,468
  4. Step 4: Simplify right side
    20,163,301,468x = 848,555,762,066,061,524,992
  5. Step 5: Solve for x
    x = 848,555,762,066,061,524,992/20,163,301,468
  6. Step 6: Final answer
    x = 42,084,167,784.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.