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Finding the Third Proportional to 10,614,618 and 15,905,259

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Solution

The third proportional to 10,614,618 and 15,905,259 is: 23,832,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,618 : 15,905,259 = 15,905,259 : x
  2. Step 2: Convert to fraction form
    10,614,618/15,905,259 = 15,905,259/x
  3. Step 3: Cross multiply
    10,614,618x = 15,905,259 × 15,905,259
  4. Step 4: Simplify right side
    10,614,618x = 252,977,263,857,081
  5. Step 5: Solve for x
    x = 252,977,263,857,081/10,614,618
  6. Step 6: Final answer
    x = 23,832,912.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.