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Finding the Third Proportional to 8,127,405 and 11,069,905.50

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Solution

The third proportional to 8,127,405 and 11,069,905.50 is: 15,077,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127,405 : 11,069,905.50 = 11,069,905.50 : x
  2. Step 2: Convert to fraction form
    8,127,405/11,069,905.50 = 11,069,905.50/x
  3. Step 3: Cross multiply
    8,127,405x = 11,069,905.50 × 11,069,905.50
  4. Step 4: Simplify right side
    8,127,405x = 122,542,807,778,930.25
  5. Step 5: Solve for x
    x = 122,542,807,778,930.25/8,127,405
  6. Step 6: Final answer
    x = 15,077,728.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.