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Finding the Third Proportional to 33,178,394 and 47,445,159

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Solution

The third proportional to 33,178,394 and 47,445,159 is: 67,846,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178,394 : 47,445,159 = 47,445,159 : x
  2. Step 2: Convert to fraction form
    33,178,394/47,445,159 = 47,445,159/x
  3. Step 3: Cross multiply
    33,178,394x = 47,445,159 × 47,445,159
  4. Step 4: Simplify right side
    33,178,394x = 2,251,043,112,535,281
  5. Step 5: Solve for x
    x = 2,251,043,112,535,281/33,178,394
  6. Step 6: Final answer
    x = 67,846,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.