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Finding the Third Proportional to 49,774,474.05 and 75,353,460.89

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Solution

The third proportional to 49,774,474.05 and 75,353,460.89 is: 114,077,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774,474.05 : 75,353,460.89 = 75,353,460.89 : x
  2. Step 2: Convert to fraction form
    49,774,474.05/75,353,460.89 = 75,353,460.89/x
  3. Step 3: Cross multiply
    49,774,474.05x = 75,353,460.89 × 75,353,460.89
  4. Step 4: Simplify right side
    49,774,474.05x = 5,678,144,068,194,951
  5. Step 5: Solve for x
    x = 5,678,144,068,194,951/49,774,474.05
  6. Step 6: Final answer
    x = 114,077,429.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.