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Finding the Third Proportional to 2,997,972 and 6,543,828

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Solution

The third proportional to 2,997,972 and 6,543,828 is: 14,283,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997,972 : 6,543,828 = 6,543,828 : x
  2. Step 2: Convert to fraction form
    2,997,972/6,543,828 = 6,543,828/x
  3. Step 3: Cross multiply
    2,997,972x = 6,543,828 × 6,543,828
  4. Step 4: Simplify right side
    2,997,972x = 42,821,684,893,584
  5. Step 5: Solve for x
    x = 42,821,684,893,584/2,997,972
  6. Step 6: Final answer
    x = 14,283,550.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.