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Finding the Third Proportional to 4,963,794.75 and 10,806,559.31

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Solution

The third proportional to 4,963,794.75 and 10,806,559.31 is: 23,526,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963,794.75 : 10,806,559.31 = 10,806,559.31 : x
  2. Step 2: Convert to fraction form
    4,963,794.75/10,806,559.31 = 10,806,559.31/x
  3. Step 3: Cross multiply
    4,963,794.75x = 10,806,559.31 × 10,806,559.31
  4. Step 4: Simplify right side
    4,963,794.75x = 116,781,724,174,580.47
  5. Step 5: Solve for x
    x = 116,781,724,174,580.47/4,963,794.75
  6. Step 6: Final answer
    x = 23,526,702.87

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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.