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Finding the Third Proportional to 43,823,785 and 68,127,859.50

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Solution

The third proportional to 43,823,785 and 68,127,859.50 is: 105,910,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823,785 : 68,127,859.50 = 68,127,859.50 : x
  2. Step 2: Convert to fraction form
    43,823,785/68,127,859.50 = 68,127,859.50/x
  3. Step 3: Cross multiply
    43,823,785x = 68,127,859.50 × 68,127,859.50
  4. Step 4: Simplify right side
    43,823,785x = 4,641,405,240,051,740
  5. Step 5: Solve for x
    x = 4,641,405,240,051,740/43,823,785
  6. Step 6: Final answer
    x = 105,910,642.82

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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.