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Finding the Third Proportional to 7,430,791.50 and 15,371,319.38

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Solution

The third proportional to 7,430,791.50 and 15,371,319.38 is: 31,797,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,791.50 : 15,371,319.38 = 15,371,319.38 : x
  2. Step 2: Convert to fraction form
    7,430,791.50/15,371,319.38 = 15,371,319.38/x
  3. Step 3: Cross multiply
    7,430,791.50x = 15,371,319.38 × 15,371,319.38
  4. Step 4: Simplify right side
    7,430,791.50x = 236,277,459,328,250.38
  5. Step 5: Solve for x
    x = 236,277,459,328,250.38/7,430,791.50
  6. Step 6: Final answer
    x = 31,797,078.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.