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Finding the Third Proportional to 7,851,276 and 11,816,224

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Solution

The third proportional to 7,851,276 and 11,816,224 is: 17,783,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,276 : 11,816,224 = 11,816,224 : x
  2. Step 2: Convert to fraction form
    7,851,276/11,816,224 = 11,816,224/x
  3. Step 3: Cross multiply
    7,851,276x = 11,816,224 × 11,816,224
  4. Step 4: Simplify right side
    7,851,276x = 139,623,149,618,176
  5. Step 5: Solve for x
    x = 139,623,149,618,176/7,851,276
  6. Step 6: Final answer
    x = 17,783,497.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.