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Finding the Third Proportional to 15,277,698.56 and 35,655,139.41

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Solution

The third proportional to 15,277,698.56 and 35,655,139.41 is: 83,212,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277,698.56 : 35,655,139.41 = 35,655,139.41 : x
  2. Step 2: Convert to fraction form
    15,277,698.56/35,655,139.41 = 35,655,139.41/x
  3. Step 3: Cross multiply
    15,277,698.56x = 35,655,139.41 × 35,655,139.41
  4. Step 4: Simplify right side
    15,277,698.56x = 1,271,288,966,079,121.50
  5. Step 5: Solve for x
    x = 1,271,288,966,079,121.50/15,277,698.56
  6. Step 6: Final answer
    x = 83,212,072.87

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.