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Finding the Third Proportional to 5,996,434.50 and 8,546,127.75

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Solution

The third proportional to 5,996,434.50 and 8,546,127.75 is: 12,179,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996,434.50 : 8,546,127.75 = 8,546,127.75 : x
  2. Step 2: Convert to fraction form
    5,996,434.50/8,546,127.75 = 8,546,127.75/x
  3. Step 3: Cross multiply
    5,996,434.50x = 8,546,127.75 × 8,546,127.75
  4. Step 4: Simplify right side
    5,996,434.50x = 73,036,299,519,320.06
  5. Step 5: Solve for x
    x = 73,036,299,519,320.06/5,996,434.50
  6. Step 6: Final answer
    x = 12,179,954.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.