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Finding the Third Proportional to 5,563,914 and 11,725,606.50

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Solution

The third proportional to 5,563,914 and 11,725,606.50 is: 24,710,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563,914 : 11,725,606.50 = 11,725,606.50 : x
  2. Step 2: Convert to fraction form
    5,563,914/11,725,606.50 = 11,725,606.50/x
  3. Step 3: Cross multiply
    5,563,914x = 11,725,606.50 × 11,725,606.50
  4. Step 4: Simplify right side
    5,563,914x = 137,489,847,792,842.25
  5. Step 5: Solve for x
    x = 137,489,847,792,842.25/5,563,914
  6. Step 6: Final answer
    x = 24,710,994.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.