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Finding the Third Proportional to 13,203,216 and 20,197,146

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Solution

The third proportional to 13,203,216 and 20,197,146 is: 30,895,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203,216 : 20,197,146 = 20,197,146 : x
  2. Step 2: Convert to fraction form
    13,203,216/20,197,146 = 20,197,146/x
  3. Step 3: Cross multiply
    13,203,216x = 20,197,146 × 20,197,146
  4. Step 4: Simplify right side
    13,203,216x = 407,924,706,545,316
  5. Step 5: Solve for x
    x = 407,924,706,545,316/13,203,216
  6. Step 6: Final answer
    x = 30,895,859.50

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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.