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Finding the Third Proportional to 3,536,991.50 and 7,578,207

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Solution

The third proportional to 3,536,991.50 and 7,578,207 is: 16,236,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536,991.50 : 7,578,207 = 7,578,207 : x
  2. Step 2: Convert to fraction form
    3,536,991.50/7,578,207 = 7,578,207/x
  3. Step 3: Cross multiply
    3,536,991.50x = 7,578,207 × 7,578,207
  4. Step 4: Simplify right side
    3,536,991.50x = 57,429,221,334,849
  5. Step 5: Solve for x
    x = 57,429,221,334,849/3,536,991.50
  6. Step 6: Final answer
    x = 16,236,742.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.