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Finding the Third Proportional to 5,097,358.69 and 7,720,072.03

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Solution

The third proportional to 5,097,358.69 and 7,720,072.03 is: 11,692,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,358.69 : 7,720,072.03 = 7,720,072.03 : x
  2. Step 2: Convert to fraction form
    5,097,358.69/7,720,072.03 = 7,720,072.03/x
  3. Step 3: Cross multiply
    5,097,358.69x = 7,720,072.03 × 7,720,072.03
  4. Step 4: Simplify right side
    5,097,358.69x = 59,599,512,167,688.50
  5. Step 5: Solve for x
    x = 59,599,512,167,688.50/5,097,358.69
  6. Step 6: Final answer
    x = 11,692,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.