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Finding the Third Proportional to 11,316,204 and 23,155,343

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Solution

The third proportional to 11,316,204 and 23,155,343 is: 47,380,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316,204 : 23,155,343 = 23,155,343 : x
  2. Step 2: Convert to fraction form
    11,316,204/23,155,343 = 23,155,343/x
  3. Step 3: Cross multiply
    11,316,204x = 23,155,343 × 23,155,343
  4. Step 4: Simplify right side
    11,316,204x = 536,169,909,447,649
  5. Step 5: Solve for x
    x = 536,169,909,447,649/11,316,204
  6. Step 6: Final answer
    x = 47,380,721.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.