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Finding the Third Proportional to 5,890,684.50 and 12,710,844

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Solution

The third proportional to 5,890,684.50 and 12,710,844 is: 27,427,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890,684.50 : 12,710,844 = 12,710,844 : x
  2. Step 2: Convert to fraction form
    5,890,684.50/12,710,844 = 12,710,844/x
  3. Step 3: Cross multiply
    5,890,684.50x = 12,710,844 × 12,710,844
  4. Step 4: Simplify right side
    5,890,684.50x = 161,565,555,192,336
  5. Step 5: Solve for x
    x = 161,565,555,192,336/5,890,684.50
  6. Step 6: Final answer
    x = 27,427,297.32

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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.