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Finding the Third Proportional to 8,298,664 and 17,007,023

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Solution

The third proportional to 8,298,664 and 17,007,023 is: 34,853,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298,664 : 17,007,023 = 17,007,023 : x
  2. Step 2: Convert to fraction form
    8,298,664/17,007,023 = 17,007,023/x
  3. Step 3: Cross multiply
    8,298,664x = 17,007,023 × 17,007,023
  4. Step 4: Simplify right side
    8,298,664x = 289,238,831,322,529
  5. Step 5: Solve for x
    x = 289,238,831,322,529/8,298,664
  6. Step 6: Final answer
    x = 34,853,662.15

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.