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Finding the Third Proportional to 6,830,083.50 and 14,545,011

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Solution

The third proportional to 6,830,083.50 and 14,545,011 is: 30,974,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830,083.50 : 14,545,011 = 14,545,011 : x
  2. Step 2: Convert to fraction form
    6,830,083.50/14,545,011 = 14,545,011/x
  3. Step 3: Cross multiply
    6,830,083.50x = 14,545,011 × 14,545,011
  4. Step 4: Simplify right side
    6,830,083.50x = 211,557,344,990,121
  5. Step 5: Solve for x
    x = 211,557,344,990,121/6,830,083.50
  6. Step 6: Final answer
    x = 30,974,342.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.