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Finding the Third Proportional to 7,431,579 and 10,465,011

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Solution

The third proportional to 7,431,579 and 10,465,011 is: 14,736,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,579 : 10,465,011 = 10,465,011 : x
  2. Step 2: Convert to fraction form
    7,431,579/10,465,011 = 10,465,011/x
  3. Step 3: Cross multiply
    7,431,579x = 10,465,011 × 10,465,011
  4. Step 4: Simplify right side
    7,431,579x = 109,516,455,230,121
  5. Step 5: Solve for x
    x = 109,516,455,230,121/7,431,579
  6. Step 6: Final answer
    x = 14,736,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.