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Finding the Third Proportional to 2,673,706.50 and 5,773,561.50

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Solution

The third proportional to 2,673,706.50 and 5,773,561.50 is: 12,467,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,706.50 : 5,773,561.50 = 5,773,561.50 : x
  2. Step 2: Convert to fraction form
    2,673,706.50/5,773,561.50 = 5,773,561.50/x
  3. Step 3: Cross multiply
    2,673,706.50x = 5,773,561.50 × 5,773,561.50
  4. Step 4: Simplify right side
    2,673,706.50x = 33,334,012,394,282.25
  5. Step 5: Solve for x
    x = 33,334,012,394,282.25/2,673,706.50
  6. Step 6: Final answer
    x = 12,467,341.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.