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Finding the Third Proportional to 7,820,583 and 16,356,205.50

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Solution

The third proportional to 7,820,583 and 16,356,205.50 is: 34,207,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,583 : 16,356,205.50 = 16,356,205.50 : x
  2. Step 2: Convert to fraction form
    7,820,583/16,356,205.50 = 16,356,205.50/x
  3. Step 3: Cross multiply
    7,820,583x = 16,356,205.50 × 16,356,205.50
  4. Step 4: Simplify right side
    7,820,583x = 267,525,458,358,230.25
  5. Step 5: Solve for x
    x = 267,525,458,358,230.25/7,820,583
  6. Step 6: Final answer
    x = 34,207,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.