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Finding the Third Proportional to 13,022,406 and 19,157,265

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Solution

The third proportional to 13,022,406 and 19,157,265 is: 28,182,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,406 : 19,157,265 = 19,157,265 : x
  2. Step 2: Convert to fraction form
    13,022,406/19,157,265 = 19,157,265/x
  3. Step 3: Cross multiply
    13,022,406x = 19,157,265 × 19,157,265
  4. Step 4: Simplify right side
    13,022,406x = 367,000,802,280,225
  5. Step 5: Solve for x
    x = 367,000,802,280,225/13,022,406
  6. Step 6: Final answer
    x = 28,182,257.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.