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Finding the Third Proportional to 7,816,496 and 17,223,220

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Solution

The third proportional to 7,816,496 and 17,223,220 is: 37,950,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,496 : 17,223,220 = 17,223,220 : x
  2. Step 2: Convert to fraction form
    7,816,496/17,223,220 = 17,223,220/x
  3. Step 3: Cross multiply
    7,816,496x = 17,223,220 × 17,223,220
  4. Step 4: Simplify right side
    7,816,496x = 296,639,307,168,400
  5. Step 5: Solve for x
    x = 296,639,307,168,400/7,816,496
  6. Step 6: Final answer
    x = 37,950,420.13

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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.