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Finding the Third Proportional to 30,904,241.78 and 64,351,771.27

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Solution

The third proportional to 30,904,241.78 and 64,351,771.27 is: 133,999,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904,241.78 : 64,351,771.27 = 64,351,771.27 : x
  2. Step 2: Convert to fraction form
    30,904,241.78/64,351,771.27 = 64,351,771.27/x
  3. Step 3: Cross multiply
    30,904,241.78x = 64,351,771.27 × 64,351,771.27
  4. Step 4: Simplify right side
    30,904,241.78x = 4,141,150,465,966,588
  5. Step 5: Solve for x
    x = 4,141,150,465,966,588/30,904,241.78
  6. Step 6: Final answer
    x = 133,999,419.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.