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Finding the Third Proportional to 6,710,288 and 14,360,976

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Solution

The third proportional to 6,710,288 and 14,360,976 is: 30,734,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710,288 : 14,360,976 = 14,360,976 : x
  2. Step 2: Convert to fraction form
    6,710,288/14,360,976 = 14,360,976/x
  3. Step 3: Cross multiply
    6,710,288x = 14,360,976 × 14,360,976
  4. Step 4: Simplify right side
    6,710,288x = 206,237,631,672,576
  5. Step 5: Solve for x
    x = 206,237,631,672,576/6,710,288
  6. Step 6: Final answer
    x = 30,734,542.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.