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Finding the Third Proportional to 12,791,965.50 and 27,825,207

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Solution

The third proportional to 12,791,965.50 and 27,825,207 is: 60,525,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791,965.50 : 27,825,207 = 27,825,207 : x
  2. Step 2: Convert to fraction form
    12,791,965.50/27,825,207 = 27,825,207/x
  3. Step 3: Cross multiply
    12,791,965.50x = 27,825,207 × 27,825,207
  4. Step 4: Simplify right side
    12,791,965.50x = 774,242,144,592,849
  5. Step 5: Solve for x
    x = 774,242,144,592,849/12,791,965.50
  6. Step 6: Final answer
    x = 60,525,659.22

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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.