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Finding the Third Proportional to 10,346,474 and 21,953,632

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Solution

The third proportional to 10,346,474 and 21,953,632 is: 46,582,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,474 : 21,953,632 = 21,953,632 : x
  2. Step 2: Convert to fraction form
    10,346,474/21,953,632 = 21,953,632/x
  3. Step 3: Cross multiply
    10,346,474x = 21,953,632 × 21,953,632
  4. Step 4: Simplify right side
    10,346,474x = 481,961,957,991,424
  5. Step 5: Solve for x
    x = 481,961,957,991,424/10,346,474
  6. Step 6: Final answer
    x = 46,582,242.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.