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Finding the Third Proportional to 5,744,964 and 8,736,813

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Solution

The third proportional to 5,744,964 and 8,736,813 is: 13,286,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,964 : 8,736,813 = 8,736,813 : x
  2. Step 2: Convert to fraction form
    5,744,964/8,736,813 = 8,736,813/x
  3. Step 3: Cross multiply
    5,744,964x = 8,736,813 × 8,736,813
  4. Step 4: Simplify right side
    5,744,964x = 76,331,901,396,969
  5. Step 5: Solve for x
    x = 76,331,901,396,969/5,744,964
  6. Step 6: Final answer
    x = 13,286,750.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.