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Finding the Third Proportional to 7,429,921 and 10,266,463

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Solution

The third proportional to 7,429,921 and 10,266,463 is: 14,185,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429,921 : 10,266,463 = 10,266,463 : x
  2. Step 2: Convert to fraction form
    7,429,921/10,266,463 = 10,266,463/x
  3. Step 3: Cross multiply
    7,429,921x = 10,266,463 × 10,266,463
  4. Step 4: Simplify right side
    7,429,921x = 105,400,262,530,369
  5. Step 5: Solve for x
    x = 105,400,262,530,369/7,429,921
  6. Step 6: Final answer
    x = 14,185,919.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.