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Finding the Third Proportional to 5,223,746 and 7,656,771

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Solution

The third proportional to 5,223,746 and 7,656,771 is: 11,223,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,746 : 7,656,771 = 7,656,771 : x
  2. Step 2: Convert to fraction form
    5,223,746/7,656,771 = 7,656,771/x
  3. Step 3: Cross multiply
    5,223,746x = 7,656,771 × 7,656,771
  4. Step 4: Simplify right side
    5,223,746x = 58,626,142,146,441
  5. Step 5: Solve for x
    x = 58,626,142,146,441/5,223,746
  6. Step 6: Final answer
    x = 11,223,007.81

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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.