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Finding the Third Proportional to 4,243,574.81 and 8,683,250.63

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Solution

The third proportional to 4,243,574.81 and 8,683,250.63 is: 17,767,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243,574.81 : 8,683,250.63 = 8,683,250.63 : x
  2. Step 2: Convert to fraction form
    4,243,574.81/8,683,250.63 = 8,683,250.63/x
  3. Step 3: Cross multiply
    4,243,574.81x = 8,683,250.63 × 8,683,250.63
  4. Step 4: Simplify right side
    4,243,574.81x = 75,398,841,416,562.89
  5. Step 5: Solve for x
    x = 75,398,841,416,562.89/4,243,574.81
  6. Step 6: Final answer
    x = 17,767,765.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.