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Finding the Third Proportional to 6,286,579 and 9,610,298

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Solution

The third proportional to 6,286,579 and 9,610,298 is: 14,691,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,579 : 9,610,298 = 9,610,298 : x
  2. Step 2: Convert to fraction form
    6,286,579/9,610,298 = 9,610,298/x
  3. Step 3: Cross multiply
    6,286,579x = 9,610,298 × 9,610,298
  4. Step 4: Simplify right side
    6,286,579x = 92,357,827,648,804
  5. Step 5: Solve for x
    x = 92,357,827,648,804/6,286,579
  6. Step 6: Final answer
    x = 14,691,269.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.