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Finding the Third Proportional to 2,425,393.13 and 5,176,173.38

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Solution

The third proportional to 2,425,393.13 and 5,176,173.38 is: 11,046,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,393.13 : 5,176,173.38 = 5,176,173.38 : x
  2. Step 2: Convert to fraction form
    2,425,393.13/5,176,173.38 = 5,176,173.38/x
  3. Step 3: Cross multiply
    2,425,393.13x = 5,176,173.38 × 5,176,173.38
  4. Step 4: Simplify right side
    2,425,393.13x = 26,792,770,808,058.89
  5. Step 5: Solve for x
    x = 26,792,770,808,058.89/2,425,393.13
  6. Step 6: Final answer
    x = 11,046,774.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.