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Finding the Third Proportional to 29,704,101.75 and 47,265,057

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Solution

The third proportional to 29,704,101.75 and 47,265,057 is: 75,207,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704,101.75 : 47,265,057 = 47,265,057 : x
  2. Step 2: Convert to fraction form
    29,704,101.75/47,265,057 = 47,265,057/x
  3. Step 3: Cross multiply
    29,704,101.75x = 47,265,057 × 47,265,057
  4. Step 4: Simplify right side
    29,704,101.75x = 2,233,985,613,213,249
  5. Step 5: Solve for x
    x = 2,233,985,613,213,249/29,704,101.75
  6. Step 6: Final answer
    x = 75,207,984.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.