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Finding the Third Proportional to 10,285,352.50 and 22,118,615

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Solution

The third proportional to 10,285,352.50 and 22,118,615 is: 47,566,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285,352.50 : 22,118,615 = 22,118,615 : x
  2. Step 2: Convert to fraction form
    10,285,352.50/22,118,615 = 22,118,615/x
  3. Step 3: Cross multiply
    10,285,352.50x = 22,118,615 × 22,118,615
  4. Step 4: Simplify right side
    10,285,352.50x = 489,233,129,518,225
  5. Step 5: Solve for x
    x = 489,233,129,518,225/10,285,352.50
  6. Step 6: Final answer
    x = 47,566,005.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.