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Finding the Third Proportional to 13,533,020 and 20,728,180

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Solution

The third proportional to 13,533,020 and 20,728,180 is: 31,748,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533,020 : 20,728,180 = 20,728,180 : x
  2. Step 2: Convert to fraction form
    13,533,020/20,728,180 = 20,728,180/x
  3. Step 3: Cross multiply
    13,533,020x = 20,728,180 × 20,728,180
  4. Step 4: Simplify right side
    13,533,020x = 429,657,446,112,400
  5. Step 5: Solve for x
    x = 429,657,446,112,400/13,533,020
  6. Step 6: Final answer
    x = 31,748,822.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.