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Finding the Third Proportional to 5,709,744 and 8,406,900

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Solution

The third proportional to 5,709,744 and 8,406,900 is: 12,378,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,744 : 8,406,900 = 8,406,900 : x
  2. Step 2: Convert to fraction form
    5,709,744/8,406,900 = 8,406,900/x
  3. Step 3: Cross multiply
    5,709,744x = 8,406,900 × 8,406,900
  4. Step 4: Simplify right side
    5,709,744x = 70,675,967,610,000
  5. Step 5: Solve for x
    x = 70,675,967,610,000/5,709,744
  6. Step 6: Final answer
    x = 12,378,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.