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Finding the Third Proportional to 3,159,324 and 6,822,063

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Solution

The third proportional to 3,159,324 and 6,822,063 is: 14,731,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,324 : 6,822,063 = 6,822,063 : x
  2. Step 2: Convert to fraction form
    3,159,324/6,822,063 = 6,822,063/x
  3. Step 3: Cross multiply
    3,159,324x = 6,822,063 × 6,822,063
  4. Step 4: Simplify right side
    3,159,324x = 46,540,543,575,969
  5. Step 5: Solve for x
    x = 46,540,543,575,969/3,159,324
  6. Step 6: Final answer
    x = 14,731,171.47

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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.