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Finding the Third Proportional to 13,026,980 and 19,161,520

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Solution

The third proportional to 13,026,980 and 19,161,520 is: 28,184,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026,980 : 19,161,520 = 19,161,520 : x
  2. Step 2: Convert to fraction form
    13,026,980/19,161,520 = 19,161,520/x
  3. Step 3: Cross multiply
    13,026,980x = 19,161,520 × 19,161,520
  4. Step 4: Simplify right side
    13,026,980x = 367,163,848,710,400
  5. Step 5: Solve for x
    x = 367,163,848,710,400/13,026,980
  6. Step 6: Final answer
    x = 28,184,878.51

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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.