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Finding the Third Proportional to 7,816,430 and 17,223,082

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Solution

The third proportional to 7,816,430 and 17,223,082 is: 37,950,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,430 : 17,223,082 = 17,223,082 : x
  2. Step 2: Convert to fraction form
    7,816,430/17,223,082 = 17,223,082/x
  3. Step 3: Cross multiply
    7,816,430x = 17,223,082 × 17,223,082
  4. Step 4: Simplify right side
    7,816,430x = 296,634,553,578,724
  5. Step 5: Solve for x
    x = 296,634,553,578,724/7,816,430
  6. Step 6: Final answer
    x = 37,950,132.42

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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.