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Finding the Third Proportional to 5,947,716 and 12,662,664

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Solution

The third proportional to 5,947,716 and 12,662,664 is: 26,958,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947,716 : 12,662,664 = 12,662,664 : x
  2. Step 2: Convert to fraction form
    5,947,716/12,662,664 = 12,662,664/x
  3. Step 3: Cross multiply
    5,947,716x = 12,662,664 × 12,662,664
  4. Step 4: Simplify right side
    5,947,716x = 160,343,059,576,896
  5. Step 5: Solve for x
    x = 160,343,059,576,896/5,947,716
  6. Step 6: Final answer
    x = 26,958,761.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.