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Finding the Third Proportional to 13,311,714 and 19,022,784

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Solution

The third proportional to 13,311,714 and 19,022,784 is: 27,184,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311,714 : 19,022,784 = 19,022,784 : x
  2. Step 2: Convert to fraction form
    13,311,714/19,022,784 = 19,022,784/x
  3. Step 3: Cross multiply
    13,311,714x = 19,022,784 × 19,022,784
  4. Step 4: Simplify right side
    13,311,714x = 361,866,311,110,656
  5. Step 5: Solve for x
    x = 361,866,311,110,656/13,311,714
  6. Step 6: Final answer
    x = 27,184,050.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.