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Finding the Third Proportional to 3,159,309 and 6,822,034

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Solution

The third proportional to 3,159,309 and 6,822,034 is: 14,731,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,309 : 6,822,034 = 6,822,034 : x
  2. Step 2: Convert to fraction form
    3,159,309/6,822,034 = 6,822,034/x
  3. Step 3: Cross multiply
    3,159,309x = 6,822,034 × 6,822,034
  4. Step 4: Simplify right side
    3,159,309x = 46,540,147,897,156
  5. Step 5: Solve for x
    x = 46,540,147,897,156/3,159,309
  6. Step 6: Final answer
    x = 14,731,116.17

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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.