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Finding the Third Proportional to 15,385,744.50 and 24,362,932.50

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Solution

The third proportional to 15,385,744.50 and 24,362,932.50 is: 38,578,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385,744.50 : 24,362,932.50 = 24,362,932.50 : x
  2. Step 2: Convert to fraction form
    15,385,744.50/24,362,932.50 = 24,362,932.50/x
  3. Step 3: Cross multiply
    15,385,744.50x = 24,362,932.50 × 24,362,932.50
  4. Step 4: Simplify right side
    15,385,744.50x = 593,552,479,999,556.25
  5. Step 5: Solve for x
    x = 593,552,479,999,556.25/15,385,744.50
  6. Step 6: Final answer
    x = 38,578,079.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.