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Finding the Third Proportional to 8,330,046.75 and 12,583,832.63

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Solution

The third proportional to 8,330,046.75 and 12,583,832.63 is: 19,009,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330,046.75 : 12,583,832.63 = 12,583,832.63 : x
  2. Step 2: Convert to fraction form
    8,330,046.75/12,583,832.63 = 12,583,832.63/x
  3. Step 3: Cross multiply
    8,330,046.75x = 12,583,832.63 × 12,583,832.63
  4. Step 4: Simplify right side
    8,330,046.75x = 158,352,843,534,014.38
  5. Step 5: Solve for x
    x = 158,352,843,534,014.38/8,330,046.75
  6. Step 6: Final answer
    x = 19,009,838.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.