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Finding the Third Proportional to 5,066,240.63 and 7,465,361.63

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Solution

The third proportional to 5,066,240.63 and 7,465,361.63 is: 11,000,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066,240.63 : 7,465,361.63 = 7,465,361.63 : x
  2. Step 2: Convert to fraction form
    5,066,240.63/7,465,361.63 = 7,465,361.63/x
  3. Step 3: Cross multiply
    5,066,240.63x = 7,465,361.63 × 7,465,361.63
  4. Step 4: Simplify right side
    5,066,240.63x = 55,731,624,192,022.64
  5. Step 5: Solve for x
    x = 55,731,624,192,022.64/5,066,240.63
  6. Step 6: Final answer
    x = 11,000,587.68

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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.