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Finding the Third Proportional to 6,830,086 and 14,545,015

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Solution

The third proportional to 6,830,086 and 14,545,015 is: 30,974,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830,086 : 14,545,015 = 14,545,015 : x
  2. Step 2: Convert to fraction form
    6,830,086/14,545,015 = 14,545,015/x
  3. Step 3: Cross multiply
    6,830,086x = 14,545,015 × 14,545,015
  4. Step 4: Simplify right side
    6,830,086x = 211,557,461,350,225
  5. Step 5: Solve for x
    x = 211,557,461,350,225/6,830,086
  6. Step 6: Final answer
    x = 30,974,348.10

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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.