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Finding the Third Proportional to 7,745,152 and 16,833,607

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Solution

The third proportional to 7,745,152 and 16,833,607 is: 36,586,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745,152 : 16,833,607 = 16,833,607 : x
  2. Step 2: Convert to fraction form
    7,745,152/16,833,607 = 16,833,607/x
  3. Step 3: Cross multiply
    7,745,152x = 16,833,607 × 16,833,607
  4. Step 4: Simplify right side
    7,745,152x = 283,370,324,630,449
  5. Step 5: Solve for x
    x = 283,370,324,630,449/7,745,152
  6. Step 6: Final answer
    x = 36,586,799.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.