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Finding the Third Proportional to 5,840,362.69 and 12,677,176.69

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Solution

The third proportional to 5,840,362.69 and 12,677,176.69 is: 27,517,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840,362.69 : 12,677,176.69 = 12,677,176.69 : x
  2. Step 2: Convert to fraction form
    5,840,362.69/12,677,176.69 = 12,677,176.69/x
  3. Step 3: Cross multiply
    5,840,362.69x = 12,677,176.69 × 12,677,176.69
  4. Step 4: Simplify right side
    5,840,362.69x = 160,710,808,766,093.47
  5. Step 5: Solve for x
    x = 160,710,808,766,093.47/5,840,362.69
  6. Step 6: Final answer
    x = 27,517,265.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.