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Finding the Third Proportional to 2,735,324 and 6,331,780

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Solution

The third proportional to 2,735,324 and 6,331,780 is: 14,656,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,324 : 6,331,780 = 6,331,780 : x
  2. Step 2: Convert to fraction form
    2,735,324/6,331,780 = 6,331,780/x
  3. Step 3: Cross multiply
    2,735,324x = 6,331,780 × 6,331,780
  4. Step 4: Simplify right side
    2,735,324x = 40,091,437,968,400
  5. Step 5: Solve for x
    x = 40,091,437,968,400/2,735,324
  6. Step 6: Final answer
    x = 14,656,924.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.