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Finding the Third Proportional to 14,183,784 and 21,275,822.25

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Solution

The third proportional to 14,183,784 and 21,275,822.25 is: 31,913,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183,784 : 21,275,822.25 = 21,275,822.25 : x
  2. Step 2: Convert to fraction form
    14,183,784/21,275,822.25 = 21,275,822.25/x
  3. Step 3: Cross multiply
    14,183,784x = 21,275,822.25 × 21,275,822.25
  4. Step 4: Simplify right side
    14,183,784x = 452,660,612,413,595.06
  5. Step 5: Solve for x
    x = 452,660,612,413,595.06/14,183,784
  6. Step 6: Final answer
    x = 31,913,952.75

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Why These Related Problems?

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