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Finding the Third Proportional to 6,437,812 and 13,921,028

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Solution

The third proportional to 6,437,812 and 13,921,028 is: 30,102,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,812 : 13,921,028 = 13,921,028 : x
  2. Step 2: Convert to fraction form
    6,437,812/13,921,028 = 13,921,028/x
  3. Step 3: Cross multiply
    6,437,812x = 13,921,028 × 13,921,028
  4. Step 4: Simplify right side
    6,437,812x = 193,795,020,576,784
  5. Step 5: Solve for x
    x = 193,795,020,576,784/6,437,812
  6. Step 6: Final answer
    x = 30,102,621.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.