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Finding the Third Proportional to 4,612,970.25 and 7,331,431.50

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Solution

The third proportional to 4,612,970.25 and 7,331,431.50 is: 11,651,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612,970.25 : 7,331,431.50 = 7,331,431.50 : x
  2. Step 2: Convert to fraction form
    4,612,970.25/7,331,431.50 = 7,331,431.50/x
  3. Step 3: Cross multiply
    4,612,970.25x = 7,331,431.50 × 7,331,431.50
  4. Step 4: Simplify right side
    4,612,970.25x = 53,749,887,839,192.25
  5. Step 5: Solve for x
    x = 53,749,887,839,192.25/4,612,970.25
  6. Step 6: Final answer
    x = 11,651,904.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.