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Finding the Third Proportional to 12,464,636 and 19,147,202

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Solution

The third proportional to 12,464,636 and 19,147,202 is: 29,412,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,636 : 19,147,202 = 19,147,202 : x
  2. Step 2: Convert to fraction form
    12,464,636/19,147,202 = 19,147,202/x
  3. Step 3: Cross multiply
    12,464,636x = 19,147,202 × 19,147,202
  4. Step 4: Simplify right side
    12,464,636x = 366,615,344,428,804
  5. Step 5: Solve for x
    x = 366,615,344,428,804/12,464,636
  6. Step 6: Final answer
    x = 29,412,438.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.