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Finding the Third Proportional to 10,969,270 and 23,355,715

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Solution

The third proportional to 10,969,270 and 23,355,715 is: 49,728,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969,270 : 23,355,715 = 23,355,715 : x
  2. Step 2: Convert to fraction form
    10,969,270/23,355,715 = 23,355,715/x
  3. Step 3: Cross multiply
    10,969,270x = 23,355,715 × 23,355,715
  4. Step 4: Simplify right side
    10,969,270x = 545,489,423,161,225
  5. Step 5: Solve for x
    x = 545,489,423,161,225/10,969,270
  6. Step 6: Final answer
    x = 49,728,871.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.