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Finding the Third Proportional to 14,462,400 and 19,831,140

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Solution

The third proportional to 14,462,400 and 19,831,140 is: 27,192,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462,400 : 19,831,140 = 19,831,140 : x
  2. Step 2: Convert to fraction form
    14,462,400/19,831,140 = 19,831,140/x
  3. Step 3: Cross multiply
    14,462,400x = 19,831,140 × 19,831,140
  4. Step 4: Simplify right side
    14,462,400x = 393,274,113,699,600
  5. Step 5: Solve for x
    x = 393,274,113,699,600/14,462,400
  6. Step 6: Final answer
    x = 27,192,866.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.