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Finding the Third Proportional to 7,816,416 and 17,223,055

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Solution

The third proportional to 7,816,416 and 17,223,055 is: 37,950,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,416 : 17,223,055 = 17,223,055 : x
  2. Step 2: Convert to fraction form
    7,816,416/17,223,055 = 17,223,055/x
  3. Step 3: Cross multiply
    7,816,416x = 17,223,055 × 17,223,055
  4. Step 4: Simplify right side
    7,816,416x = 296,633,623,533,025
  5. Step 5: Solve for x
    x = 296,633,623,533,025/7,816,416
  6. Step 6: Final answer
    x = 37,950,081.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.