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Finding the Third Proportional to 14,654,028 and 22,416,210

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Solution

The third proportional to 14,654,028 and 22,416,210 is: 34,289,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654,028 : 22,416,210 = 22,416,210 : x
  2. Step 2: Convert to fraction form
    14,654,028/22,416,210 = 22,416,210/x
  3. Step 3: Cross multiply
    14,654,028x = 22,416,210 × 22,416,210
  4. Step 4: Simplify right side
    14,654,028x = 502,486,470,764,100
  5. Step 5: Solve for x
    x = 502,486,470,764,100/14,654,028
  6. Step 6: Final answer
    x = 34,289,989.81

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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.