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Finding the Third Proportional to 5,793,415.50 and 8,764,687.13

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Solution

The third proportional to 5,793,415.50 and 8,764,687.13 is: 13,259,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793,415.50 : 8,764,687.13 = 8,764,687.13 : x
  2. Step 2: Convert to fraction form
    5,793,415.50/8,764,687.13 = 8,764,687.13/x
  3. Step 3: Cross multiply
    5,793,415.50x = 8,764,687.13 × 8,764,687.13
  4. Step 4: Simplify right side
    5,793,415.50x = 76,819,740,399,140.77
  5. Step 5: Solve for x
    x = 76,819,740,399,140.77/5,793,415.50
  6. Step 6: Final answer
    x = 13,259,836.17

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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.