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Finding the Third Proportional to 10,133,282.25 and 15,684,618.09

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Solution

The third proportional to 10,133,282.25 and 15,684,618.09 is: 24,277,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133,282.25 : 15,684,618.09 = 15,684,618.09 : x
  2. Step 2: Convert to fraction form
    10,133,282.25/15,684,618.09 = 15,684,618.09/x
  3. Step 3: Cross multiply
    10,133,282.25x = 15,684,618.09 × 15,684,618.09
  4. Step 4: Simplify right side
    10,133,282.25x = 246,007,244,746,789.88
  5. Step 5: Solve for x
    x = 246,007,244,746,789.88/10,133,282.25
  6. Step 6: Final answer
    x = 24,277,153.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.