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Finding the Third Proportional to 31,868,304 and 49,208,631

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Solution

The third proportional to 31,868,304 and 49,208,631 is: 75,984,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868,304 : 49,208,631 = 49,208,631 : x
  2. Step 2: Convert to fraction form
    31,868,304/49,208,631 = 49,208,631/x
  3. Step 3: Cross multiply
    31,868,304x = 49,208,631 × 49,208,631
  4. Step 4: Simplify right side
    31,868,304x = 2,421,489,364,894,161
  5. Step 5: Solve for x
    x = 2,421,489,364,894,161/31,868,304
  6. Step 6: Final answer
    x = 75,984,255.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.