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Finding the Third Proportional to 3,104,724 and 6,681,584

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Solution

The third proportional to 3,104,724 and 6,681,584 is: 14,379,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,724 : 6,681,584 = 6,681,584 : x
  2. Step 2: Convert to fraction form
    3,104,724/6,681,584 = 6,681,584/x
  3. Step 3: Cross multiply
    3,104,724x = 6,681,584 × 6,681,584
  4. Step 4: Simplify right side
    3,104,724x = 44,643,564,749,056
  5. Step 5: Solve for x
    x = 44,643,564,749,056/3,104,724
  6. Step 6: Final answer
    x = 14,379,237.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.