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Finding the Third Proportional to 5,261,996.04 and 7,871,536.97

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Solution

The third proportional to 5,261,996.04 and 7,871,536.97 is: 11,775,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,996.04 : 7,871,536.97 = 7,871,536.97 : x
  2. Step 2: Convert to fraction form
    5,261,996.04/7,871,536.97 = 7,871,536.97/x
  3. Step 3: Cross multiply
    5,261,996.04x = 7,871,536.97 × 7,871,536.97
  4. Step 4: Simplify right side
    5,261,996.04x = 61,961,094,250,397.94
  5. Step 5: Solve for x
    x = 61,961,094,250,397.94/5,261,996.04
  6. Step 6: Final answer
    x = 11,775,207.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.