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Finding the Third Proportional to 8,471,011 and 12,725,835.50

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Solution

The third proportional to 8,471,011 and 12,725,835.50 is: 19,117,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471,011 : 12,725,835.50 = 12,725,835.50 : x
  2. Step 2: Convert to fraction form
    8,471,011/12,725,835.50 = 12,725,835.50/x
  3. Step 3: Cross multiply
    8,471,011x = 12,725,835.50 × 12,725,835.50
  4. Step 4: Simplify right side
    8,471,011x = 161,946,889,173,060.25
  5. Step 5: Solve for x
    x = 161,946,889,173,060.25/8,471,011
  6. Step 6: Final answer
    x = 19,117,775.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.