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Finding the Third Proportional to 6,807,351.75 and 14,748,754.13

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Solution

The third proportional to 6,807,351.75 and 14,748,754.13 is: 31,954,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807,351.75 : 14,748,754.13 = 14,748,754.13 : x
  2. Step 2: Convert to fraction form
    6,807,351.75/14,748,754.13 = 14,748,754.13/x
  3. Step 3: Cross multiply
    6,807,351.75x = 14,748,754.13 × 14,748,754.13
  4. Step 4: Simplify right side
    6,807,351.75x = 217,525,748,239,704.50
  5. Step 5: Solve for x
    x = 217,525,748,239,704.50/6,807,351.75
  6. Step 6: Final answer
    x = 31,954,533.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.