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Finding the Third Proportional to 6,347,220.75 and 9,669,552.19

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Solution

The third proportional to 6,347,220.75 and 9,669,552.19 is: 14,730,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347,220.75 : 9,669,552.19 = 9,669,552.19 : x
  2. Step 2: Convert to fraction form
    6,347,220.75/9,669,552.19 = 9,669,552.19/x
  3. Step 3: Cross multiply
    6,347,220.75x = 9,669,552.19 × 9,669,552.19
  4. Step 4: Simplify right side
    6,347,220.75x = 93,500,239,506,786.03
  5. Step 5: Solve for x
    x = 93,500,239,506,786.03/6,347,220.75
  6. Step 6: Final answer
    x = 14,730,894.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.