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Finding the Third Proportional to 7,544,089.50 and 15,436,803

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Solution

The third proportional to 7,544,089.50 and 15,436,803 is: 31,586,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,089.50 : 15,436,803 = 15,436,803 : x
  2. Step 2: Convert to fraction form
    7,544,089.50/15,436,803 = 15,436,803/x
  3. Step 3: Cross multiply
    7,544,089.50x = 15,436,803 × 15,436,803
  4. Step 4: Simplify right side
    7,544,089.50x = 238,294,886,860,809
  5. Step 5: Solve for x
    x = 238,294,886,860,809/7,544,089.50
  6. Step 6: Final answer
    x = 31,586,964.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.