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Finding the Third Proportional to 12,791,964 and 27,825,203

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Solution

The third proportional to 12,791,964 and 27,825,203 is: 60,525,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791,964 : 27,825,203 = 27,825,203 : x
  2. Step 2: Convert to fraction form
    12,791,964/27,825,203 = 27,825,203/x
  3. Step 3: Cross multiply
    12,791,964x = 27,825,203 × 27,825,203
  4. Step 4: Simplify right side
    12,791,964x = 774,241,921,991,209
  5. Step 5: Solve for x
    x = 774,241,921,991,209/12,791,964
  6. Step 6: Final answer
    x = 60,525,648.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.