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Finding the Third Proportional to 19,258,969.50 and 39,190,541.63

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Solution

The third proportional to 19,258,969.50 and 39,190,541.63 is: 79,749,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258,969.50 : 39,190,541.63 = 39,190,541.63 : x
  2. Step 2: Convert to fraction form
    19,258,969.50/39,190,541.63 = 39,190,541.63/x
  3. Step 3: Cross multiply
    19,258,969.50x = 39,190,541.63 × 39,190,541.63
  4. Step 4: Simplify right side
    19,258,969.50x = 1,535,898,552,860,857.75
  5. Step 5: Solve for x
    x = 1,535,898,552,860,857.75/19,258,969.50
  6. Step 6: Final answer
    x = 79,749,778.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.