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Finding the Third Proportional to 5,681,892 and 13,692,972

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Solution

The third proportional to 5,681,892 and 13,692,972 is: 32,999,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,892 : 13,692,972 = 13,692,972 : x
  2. Step 2: Convert to fraction form
    5,681,892/13,692,972 = 13,692,972/x
  3. Step 3: Cross multiply
    5,681,892x = 13,692,972 × 13,692,972
  4. Step 4: Simplify right side
    5,681,892x = 187,497,482,192,784
  5. Step 5: Solve for x
    x = 187,497,482,192,784/5,681,892
  6. Step 6: Final answer
    x = 32,999,128.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.