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Finding the Third Proportional to 15,941,947.50 and 22,369,709.25

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Solution

The third proportional to 15,941,947.50 and 22,369,709.25 is: 31,389,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941,947.50 : 22,369,709.25 = 22,369,709.25 : x
  2. Step 2: Convert to fraction form
    15,941,947.50/22,369,709.25 = 22,369,709.25/x
  3. Step 3: Cross multiply
    15,941,947.50x = 22,369,709.25 × 22,369,709.25
  4. Step 4: Simplify right side
    15,941,947.50x = 500,403,891,929,535.56
  5. Step 5: Solve for x
    x = 500,403,891,929,535.56/15,941,947.50
  6. Step 6: Final answer
    x = 31,389,131.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.