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Finding the Third Proportional to 15,760,266.19 and 20,138,032.69

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Solution

The third proportional to 15,760,266.19 and 20,138,032.69 is: 25,731,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760,266.19 : 20,138,032.69 = 20,138,032.69 : x
  2. Step 2: Convert to fraction form
    15,760,266.19/20,138,032.69 = 20,138,032.69/x
  3. Step 3: Cross multiply
    15,760,266.19x = 20,138,032.69 × 20,138,032.69
  4. Step 4: Simplify right side
    15,760,266.19x = 405,540,360,522,818.50
  5. Step 5: Solve for x
    x = 405,540,360,522,818.50/15,760,266.19
  6. Step 6: Final answer
    x = 25,731,821.77

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.