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Finding the Third Proportional to 5,347,009.97 and 8,046,041.34

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Solution

The third proportional to 5,347,009.97 and 8,046,041.34 is: 12,107,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,009.97 : 8,046,041.34 = 8,046,041.34 : x
  2. Step 2: Convert to fraction form
    5,347,009.97/8,046,041.34 = 8,046,041.34/x
  3. Step 3: Cross multiply
    5,347,009.97x = 8,046,041.34 × 8,046,041.34
  4. Step 4: Simplify right side
    5,347,009.97x = 64,738,781,305,334.30
  5. Step 5: Solve for x
    x = 64,738,781,305,334.30/5,347,009.97
  6. Step 6: Final answer
    x = 12,107,473.46

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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.