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Finding the Third Proportional to 2,456,125.88 and 5,385,182.06

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Solution

The third proportional to 2,456,125.88 and 5,385,182.06 is: 11,807,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,125.88 : 5,385,182.06 = 5,385,182.06 : x
  2. Step 2: Convert to fraction form
    2,456,125.88/5,385,182.06 = 5,385,182.06/x
  3. Step 3: Cross multiply
    2,456,125.88x = 5,385,182.06 × 5,385,182.06
  4. Step 4: Simplify right side
    2,456,125.88x = 29,000,185,846,271.75
  5. Step 5: Solve for x
    x = 29,000,185,846,271.75/2,456,125.88
  6. Step 6: Final answer
    x = 11,807,288.11

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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.