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Finding the Third Proportional to 13,810,896 and 20,908,200

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Solution

The third proportional to 13,810,896 and 20,908,200 is: 31,652,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810,896 : 20,908,200 = 20,908,200 : x
  2. Step 2: Convert to fraction form
    13,810,896/20,908,200 = 20,908,200/x
  3. Step 3: Cross multiply
    13,810,896x = 20,908,200 × 20,908,200
  4. Step 4: Simplify right side
    13,810,896x = 437,152,827,240,000
  5. Step 5: Solve for x
    x = 437,152,827,240,000/13,810,896
  6. Step 6: Final answer
    x = 31,652,749.19

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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.