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Finding the Third Proportional to 5,705,156.25 and 12,685,898.25

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Solution

The third proportional to 5,705,156.25 and 12,685,898.25 is: 28,208,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705,156.25 : 12,685,898.25 = 12,685,898.25 : x
  2. Step 2: Convert to fraction form
    5,705,156.25/12,685,898.25 = 12,685,898.25/x
  3. Step 3: Cross multiply
    5,705,156.25x = 12,685,898.25 × 12,685,898.25
  4. Step 4: Simplify right side
    5,705,156.25x = 160,932,014,409,353.06
  5. Step 5: Solve for x
    x = 160,932,014,409,353.06/5,705,156.25
  6. Step 6: Final answer
    x = 28,208,169.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.