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Finding the Third Proportional to 9,974,876 and 21,488,509

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Solution

The third proportional to 9,974,876 and 21,488,509 is: 46,291,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,876 : 21,488,509 = 21,488,509 : x
  2. Step 2: Convert to fraction form
    9,974,876/21,488,509 = 21,488,509/x
  3. Step 3: Cross multiply
    9,974,876x = 21,488,509 × 21,488,509
  4. Step 4: Simplify right side
    9,974,876x = 461,756,019,043,081
  5. Step 5: Solve for x
    x = 461,756,019,043,081/9,974,876
  6. Step 6: Final answer
    x = 46,291,905.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.