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Finding the Third Proportional to 5,142,684 and 11,059,320

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Solution

The third proportional to 5,142,684 and 11,059,320 is: 23,783,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142,684 : 11,059,320 = 11,059,320 : x
  2. Step 2: Convert to fraction form
    5,142,684/11,059,320 = 11,059,320/x
  3. Step 3: Cross multiply
    5,142,684x = 11,059,320 × 11,059,320
  4. Step 4: Simplify right side
    5,142,684x = 122,308,558,862,400
  5. Step 5: Solve for x
    x = 122,308,558,862,400/5,142,684
  6. Step 6: Final answer
    x = 23,783,020.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.