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Finding the Third Proportional to 8,046,519.75 and 12,038,113.69

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Solution

The third proportional to 8,046,519.75 and 12,038,113.69 is: 18,009,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046,519.75 : 12,038,113.69 = 12,038,113.69 : x
  2. Step 2: Convert to fraction form
    8,046,519.75/12,038,113.69 = 12,038,113.69/x
  3. Step 3: Cross multiply
    8,046,519.75x = 12,038,113.69 × 12,038,113.69
  4. Step 4: Simplify right side
    8,046,519.75x = 144,916,181,153,174.84
  5. Step 5: Solve for x
    x = 144,916,181,153,174.84/8,046,519.75
  6. Step 6: Final answer
    x = 18,009,796.24

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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.