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Finding the Third Proportional to 5,724,804.94 and 12,346,391.25

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Solution

The third proportional to 5,724,804.94 and 12,346,391.25 is: 26,626,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724,804.94 : 12,346,391.25 = 12,346,391.25 : x
  2. Step 2: Convert to fraction form
    5,724,804.94/12,346,391.25 = 12,346,391.25/x
  3. Step 3: Cross multiply
    5,724,804.94x = 12,346,391.25 × 12,346,391.25
  4. Step 4: Simplify right side
    5,724,804.94x = 152,433,376,898,076.56
  5. Step 5: Solve for x
    x = 152,433,376,898,076.56/5,724,804.94
  6. Step 6: Final answer
    x = 26,626,824.59

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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.