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Finding the Third Proportional to 4,065,099.75 and 5,985,343.13

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Solution

The third proportional to 4,065,099.75 and 5,985,343.13 is: 8,812,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,099.75 : 5,985,343.13 = 5,985,343.13 : x
  2. Step 2: Convert to fraction form
    4,065,099.75/5,985,343.13 = 5,985,343.13/x
  3. Step 3: Cross multiply
    4,065,099.75x = 5,985,343.13 × 5,985,343.13
  4. Step 4: Simplify right side
    4,065,099.75x = 35,824,332,323,984.77
  5. Step 5: Solve for x
    x = 35,824,332,323,984.77/4,065,099.75
  6. Step 6: Final answer
    x = 8,812,657.63

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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.