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Finding the Third Proportional to 6,989,098 and 14,949,740

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Solution

The third proportional to 6,989,098 and 14,949,740 is: 31,977,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,098 : 14,949,740 = 14,949,740 : x
  2. Step 2: Convert to fraction form
    6,989,098/14,949,740 = 14,949,740/x
  3. Step 3: Cross multiply
    6,989,098x = 14,949,740 × 14,949,740
  4. Step 4: Simplify right side
    6,989,098x = 223,494,726,067,600
  5. Step 5: Solve for x
    x = 223,494,726,067,600/6,989,098
  6. Step 6: Final answer
    x = 31,977,620.87

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Why These Related Problems?

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