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Finding the Third Proportional to 4,064,347.28 and 5,984,247.09

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Solution

The third proportional to 4,064,347.28 and 5,984,247.09 is: 8,811,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064,347.28 : 5,984,247.09 = 5,984,247.09 : x
  2. Step 2: Convert to fraction form
    4,064,347.28/5,984,247.09 = 5,984,247.09/x
  3. Step 3: Cross multiply
    4,064,347.28x = 5,984,247.09 × 5,984,247.09
  4. Step 4: Simplify right side
    4,064,347.28x = 35,811,213,279,055.32
  5. Step 5: Solve for x
    x = 35,811,213,279,055.32/4,064,347.28
  6. Step 6: Final answer
    x = 8,811,061.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.