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Finding the Third Proportional to 8,328,164.06 and 11,345,710.50

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Solution

The third proportional to 8,328,164.06 and 11,345,710.50 is: 15,456,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328,164.06 : 11,345,710.50 = 11,345,710.50 : x
  2. Step 2: Convert to fraction form
    8,328,164.06/11,345,710.50 = 11,345,710.50/x
  3. Step 3: Cross multiply
    8,328,164.06x = 11,345,710.50 × 11,345,710.50
  4. Step 4: Simplify right side
    8,328,164.06x = 128,725,146,749,810.25
  5. Step 5: Solve for x
    x = 128,725,146,749,810.25/8,328,164.06
  6. Step 6: Final answer
    x = 15,456,605.54

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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.