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Finding the Third Proportional to 13,810,440 and 20,907,596

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Solution

The third proportional to 13,810,440 and 20,907,596 is: 31,651,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810,440 : 20,907,596 = 20,907,596 : x
  2. Step 2: Convert to fraction form
    13,810,440/20,907,596 = 20,907,596/x
  3. Step 3: Cross multiply
    13,810,440x = 20,907,596 × 20,907,596
  4. Step 4: Simplify right side
    13,810,440x = 437,127,570,499,216
  5. Step 5: Solve for x
    x = 437,127,570,499,216/13,810,440
  6. Step 6: Final answer
    x = 31,651,965.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.