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Finding the Third Proportional to 6,484,009 and 10,171,135.50

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Solution

The third proportional to 6,484,009 and 10,171,135.50 is: 15,954,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484,009 : 10,171,135.50 = 10,171,135.50 : x
  2. Step 2: Convert to fraction form
    6,484,009/10,171,135.50 = 10,171,135.50/x
  3. Step 3: Cross multiply
    6,484,009x = 10,171,135.50 × 10,171,135.50
  4. Step 4: Simplify right side
    6,484,009x = 103,451,997,359,360.25
  5. Step 5: Solve for x
    x = 103,451,997,359,360.25/6,484,009
  6. Step 6: Final answer
    x = 15,954,943.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.