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Finding the Third Proportional to 3,564,463.50 and 7,666,222.50

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Solution

The third proportional to 3,564,463.50 and 7,666,222.50 is: 16,488,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,463.50 : 7,666,222.50 = 7,666,222.50 : x
  2. Step 2: Convert to fraction form
    3,564,463.50/7,666,222.50 = 7,666,222.50/x
  3. Step 3: Cross multiply
    3,564,463.50x = 7,666,222.50 × 7,666,222.50
  4. Step 4: Simplify right side
    3,564,463.50x = 58,770,967,419,506.25
  5. Step 5: Solve for x
    x = 58,770,967,419,506.25/3,564,463.50
  6. Step 6: Final answer
    x = 16,488,026.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.