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Finding the Third Proportional to 31,126,706 and 49,725,579

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Solution

The third proportional to 31,126,706 and 49,725,579 is: 79,437,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126,706 : 49,725,579 = 49,725,579 : x
  2. Step 2: Convert to fraction form
    31,126,706/49,725,579 = 49,725,579/x
  3. Step 3: Cross multiply
    31,126,706x = 49,725,579 × 49,725,579
  4. Step 4: Simplify right side
    31,126,706x = 2,472,633,206,885,241
  5. Step 5: Solve for x
    x = 2,472,633,206,885,241/31,126,706
  6. Step 6: Final answer
    x = 79,437,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.