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Finding the Third Proportional to 31,783,394 and 49,204,011

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Solution

The third proportional to 31,783,394 and 49,204,011 is: 76,172,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783,394 : 49,204,011 = 49,204,011 : x
  2. Step 2: Convert to fraction form
    31,783,394/49,204,011 = 49,204,011/x
  3. Step 3: Cross multiply
    31,783,394x = 49,204,011 × 49,204,011
  4. Step 4: Simplify right side
    31,783,394x = 2,421,034,698,488,121
  5. Step 5: Solve for x
    x = 2,421,034,698,488,121/31,783,394
  6. Step 6: Final answer
    x = 76,172,944.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.