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Finding the Third Proportional to 5,689,347.19 and 12,440,892.94

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Solution

The third proportional to 5,689,347.19 and 12,440,892.94 is: 27,204,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689,347.19 : 12,440,892.94 = 12,440,892.94 : x
  2. Step 2: Convert to fraction form
    5,689,347.19/12,440,892.94 = 12,440,892.94/x
  3. Step 3: Cross multiply
    5,689,347.19x = 12,440,892.94 × 12,440,892.94
  4. Step 4: Simplify right side
    5,689,347.19x = 154,775,817,082,337.38
  5. Step 5: Solve for x
    x = 154,775,817,082,337.38/5,689,347.19
  6. Step 6: Final answer
    x = 27,204,494.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.