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Finding the Third Proportional to 5,949,973.77 and 12,890,334.98

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Solution

The third proportional to 5,949,973.77 and 12,890,334.98 is: 27,926,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949,973.77 : 12,890,334.98 = 12,890,334.98 : x
  2. Step 2: Convert to fraction form
    5,949,973.77/12,890,334.98 = 12,890,334.98/x
  3. Step 3: Cross multiply
    5,949,973.77x = 12,890,334.98 × 12,890,334.98
  4. Step 4: Simplify right side
    5,949,973.77x = 166,160,735,820,558.66
  5. Step 5: Solve for x
    x = 166,160,735,820,558.66/5,949,973.77
  6. Step 6: Final answer
    x = 27,926,297.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.