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Finding the Third Proportional to 8,197,470 and 12,030,212

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Solution

The third proportional to 8,197,470 and 12,030,212 is: 17,654,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,470 : 12,030,212 = 12,030,212 : x
  2. Step 2: Convert to fraction form
    8,197,470/12,030,212 = 12,030,212/x
  3. Step 3: Cross multiply
    8,197,470x = 12,030,212 × 12,030,212
  4. Step 4: Simplify right side
    8,197,470x = 144,726,000,764,944
  5. Step 5: Solve for x
    x = 144,726,000,764,944/8,197,470
  6. Step 6: Final answer
    x = 17,654,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.