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Finding the Third Proportional to 4,951,557 and 10,499,253.75

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Solution

The third proportional to 4,951,557 and 10,499,253.75 is: 22,262,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951,557 : 10,499,253.75 = 10,499,253.75 : x
  2. Step 2: Convert to fraction form
    4,951,557/10,499,253.75 = 10,499,253.75/x
  3. Step 3: Cross multiply
    4,951,557x = 10,499,253.75 × 10,499,253.75
  4. Step 4: Simplify right side
    4,951,557x = 110,234,329,306,889.06
  5. Step 5: Solve for x
    x = 110,234,329,306,889.06/4,951,557
  6. Step 6: Final answer
    x = 22,262,558.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.