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Finding the Third Proportional to 6,786,978 and 14,545,488

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Solution

The third proportional to 6,786,978 and 14,545,488 is: 31,173,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,978 : 14,545,488 = 14,545,488 : x
  2. Step 2: Convert to fraction form
    6,786,978/14,545,488 = 14,545,488/x
  3. Step 3: Cross multiply
    6,786,978x = 14,545,488 × 14,545,488
  4. Step 4: Simplify right side
    6,786,978x = 211,571,221,158,144
  5. Step 5: Solve for x
    x = 211,571,221,158,144/6,786,978
  6. Step 6: Final answer
    x = 31,173,111.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.