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Finding the Third Proportional to 7,468,038 and 11,270,754

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Solution

The third proportional to 7,468,038 and 11,270,754 is: 17,009,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468,038 : 11,270,754 = 11,270,754 : x
  2. Step 2: Convert to fraction form
    7,468,038/11,270,754 = 11,270,754/x
  3. Step 3: Cross multiply
    7,468,038x = 11,270,754 × 11,270,754
  4. Step 4: Simplify right side
    7,468,038x = 127,029,895,728,516
  5. Step 5: Solve for x
    x = 127,029,895,728,516/7,468,038
  6. Step 6: Final answer
    x = 17,009,808.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.