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Finding the Third Proportional to 6,865,300 and 14,809,704

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Solution

The third proportional to 6,865,300 and 14,809,704 is: 31,947,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865,300 : 14,809,704 = 14,809,704 : x
  2. Step 2: Convert to fraction form
    6,865,300/14,809,704 = 14,809,704/x
  3. Step 3: Cross multiply
    6,865,300x = 14,809,704 × 14,809,704
  4. Step 4: Simplify right side
    6,865,300x = 219,327,332,567,616
  5. Step 5: Solve for x
    x = 219,327,332,567,616/6,865,300
  6. Step 6: Final answer
    x = 31,947,232.10

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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.