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Finding the Third Proportional to 13,022,415 and 19,157,214

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Solution

The third proportional to 13,022,415 and 19,157,214 is: 28,182,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,415 : 19,157,214 = 19,157,214 : x
  2. Step 2: Convert to fraction form
    13,022,415/19,157,214 = 19,157,214/x
  3. Step 3: Cross multiply
    13,022,415x = 19,157,214 × 19,157,214
  4. Step 4: Simplify right side
    13,022,415x = 366,998,848,241,796
  5. Step 5: Solve for x
    x = 366,998,848,241,796/13,022,415
  6. Step 6: Final answer
    x = 28,182,088.21

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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.