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Finding the Third Proportional to 14,494,866 and 31,259,379

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Solution

The third proportional to 14,494,866 and 31,259,379 is: 67,413,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494,866 : 31,259,379 = 31,259,379 : x
  2. Step 2: Convert to fraction form
    14,494,866/31,259,379 = 31,259,379/x
  3. Step 3: Cross multiply
    14,494,866x = 31,259,379 × 31,259,379
  4. Step 4: Simplify right side
    14,494,866x = 977,148,775,465,641
  5. Step 5: Solve for x
    x = 977,148,775,465,641/14,494,866
  6. Step 6: Final answer
    x = 67,413,439.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.