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Finding the Third Proportional to 11,654,570 and 23,771,380

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Solution

The third proportional to 11,654,570 and 23,771,380 is: 48,485,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654,570 : 23,771,380 = 23,771,380 : x
  2. Step 2: Convert to fraction form
    11,654,570/23,771,380 = 23,771,380/x
  3. Step 3: Cross multiply
    11,654,570x = 23,771,380 × 23,771,380
  4. Step 4: Simplify right side
    11,654,570x = 565,078,507,104,400
  5. Step 5: Solve for x
    x = 565,078,507,104,400/11,654,570
  6. Step 6: Final answer
    x = 48,485,573.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.