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Finding the Third Proportional to 31,442,678 and 49,998,409

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Solution

The third proportional to 31,442,678 and 49,998,409 is: 79,504,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442,678 : 49,998,409 = 49,998,409 : x
  2. Step 2: Convert to fraction form
    31,442,678/49,998,409 = 49,998,409/x
  3. Step 3: Cross multiply
    31,442,678x = 49,998,409 × 49,998,409
  4. Step 4: Simplify right side
    31,442,678x = 2,499,840,902,531,281
  5. Step 5: Solve for x
    x = 2,499,840,902,531,281/31,442,678
  6. Step 6: Final answer
    x = 79,504,707.03

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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.