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Finding the Third Proportional to 11,926,740 and 26,196,516

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Solution

The third proportional to 11,926,740 and 26,196,516 is: 57,539,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926,740 : 26,196,516 = 26,196,516 : x
  2. Step 2: Convert to fraction form
    11,926,740/26,196,516 = 26,196,516/x
  3. Step 3: Cross multiply
    11,926,740x = 26,196,516 × 26,196,516
  4. Step 4: Simplify right side
    11,926,740x = 686,257,450,538,256
  5. Step 5: Solve for x
    x = 686,257,450,538,256/11,926,740
  6. Step 6: Final answer
    x = 57,539,398.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.