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Finding the Third Proportional to 4,618,863 and 7,169,296.50

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Solution

The third proportional to 4,618,863 and 7,169,296.50 is: 11,128,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618,863 : 7,169,296.50 = 7,169,296.50 : x
  2. Step 2: Convert to fraction form
    4,618,863/7,169,296.50 = 7,169,296.50/x
  3. Step 3: Cross multiply
    4,618,863x = 7,169,296.50 × 7,169,296.50
  4. Step 4: Simplify right side
    4,618,863x = 51,398,812,304,912.25
  5. Step 5: Solve for x
    x = 51,398,812,304,912.25/4,618,863
  6. Step 6: Final answer
    x = 11,128,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.