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Finding the Third Proportional to 6,934,749 and 9,201,622.50

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Solution

The third proportional to 6,934,749 and 9,201,622.50 is: 12,209,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,749 : 9,201,622.50 = 9,201,622.50 : x
  2. Step 2: Convert to fraction form
    6,934,749/9,201,622.50 = 9,201,622.50/x
  3. Step 3: Cross multiply
    6,934,749x = 9,201,622.50 × 9,201,622.50
  4. Step 4: Simplify right side
    6,934,749x = 84,669,856,632,506.25
  5. Step 5: Solve for x
    x = 84,669,856,632,506.25/6,934,749
  6. Step 6: Final answer
    x = 12,209,505.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.