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Finding the Third Proportional to 11,461,449 and 17,146,788

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Solution

The third proportional to 11,461,449 and 17,146,788 is: 25,652,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461,449 : 17,146,788 = 17,146,788 : x
  2. Step 2: Convert to fraction form
    11,461,449/17,146,788 = 17,146,788/x
  3. Step 3: Cross multiply
    11,461,449x = 17,146,788 × 17,146,788
  4. Step 4: Simplify right side
    11,461,449x = 294,012,338,716,944
  5. Step 5: Solve for x
    x = 294,012,338,716,944/11,461,449
  6. Step 6: Final answer
    x = 25,652,283.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.