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Finding the Third Proportional to 11,209,528 and 24,138,256

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Solution

The third proportional to 11,209,528 and 24,138,256 is: 51,978,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,528 : 24,138,256 = 24,138,256 : x
  2. Step 2: Convert to fraction form
    11,209,528/24,138,256 = 24,138,256/x
  3. Step 3: Cross multiply
    11,209,528x = 24,138,256 × 24,138,256
  4. Step 4: Simplify right side
    11,209,528x = 582,655,402,721,536
  5. Step 5: Solve for x
    x = 582,655,402,721,536/11,209,528
  6. Step 6: Final answer
    x = 51,978,584.89

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