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Finding the Third Proportional to 5,223,744 and 7,656,768

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Solution

The third proportional to 5,223,744 and 7,656,768 is: 11,223,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,744 : 7,656,768 = 7,656,768 : x
  2. Step 2: Convert to fraction form
    5,223,744/7,656,768 = 7,656,768/x
  3. Step 3: Cross multiply
    5,223,744x = 7,656,768 × 7,656,768
  4. Step 4: Simplify right side
    5,223,744x = 58,626,096,205,824
  5. Step 5: Solve for x
    x = 58,626,096,205,824/5,223,744
  6. Step 6: Final answer
    x = 11,223,003.31

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